{"id":206,"date":"2022-04-13T10:19:43","date_gmt":"2022-04-13T10:19:43","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=206"},"modified":"2024-08-25T07:35:04","modified_gmt":"2024-08-25T07:35:04","slug":"j-11-match-quadratic-functions-and-graphs","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/j-11-match-quadratic-functions-and-graphs\/","title":{"rendered":"J.11 Match quadratic functions and graphs"},"content":{"rendered":"\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Match quadratic functions and graphs<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-8550df6181cd5d83aa7a08ef336a4ca1\" style=\"color:#74008b\">Key Notes :<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-aa9f512260930595cc8a82b87c1d2b2c\" style=\"color:#0d9583\"><strong>Understanding Quadratic Functions and Graphs<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A quadratic function is a polynomial function of degree two, typically expressed in the form f(x) = ax\u00b2 + bx + c.<\/li>\n\n\n\n<li>The graph of a quadratic function is a parabola, which is a U-shaped curve.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-efd918d9cfabcc581ee4deae8a09777f\" style=\"color:#ccff00\"><strong>Key Properties of Quadratic Graphs<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Leading Coefficient (a):<\/strong> Determines the direction of the parabola (upward if a &gt; 0, downward if a &lt; 0).<\/li>\n\n\n\n<li><strong>Vertex:<\/strong> The point where the parabola changes direction (minimum if a &gt; 0, maximum if a &lt; 0).<\/li>\n\n\n\n<li><strong>Axis of Symmetry:<\/strong> A vertical line that divides the parabola into two symmetrical halves.<\/li>\n\n\n\n<li><strong>Roots:<\/strong> The points where the parabola intersects the x-axis (also known as x-intercepts).<\/li>\n\n\n\n<li><strong>Y-intercept:<\/strong> The point where the parabola intersects the y-axis.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-8fd3d122947fe68ea3c6fc8ee36008df\" style=\"color:#7719f3\"><strong>Matching Quadratic Functions and Graphs<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Analyze the Leading Coefficient:<\/strong> Determine whether the parabola opens upward or downward based on the sign of the leading coefficient (a).<\/li>\n\n\n\n<li><strong>Identify the Vertex:<\/strong> Look for the highest or lowest point on the graph. This is the vertex.<\/li>\n\n\n\n<li><strong>Determine the Axis of Symmetry:<\/strong> Find the vertical line that divides the parabola into two symmetrical halves.<\/li>\n\n\n\n<li><strong>Identify the Roots:<\/strong> Look for the points where the parabola intersects the x-axis.<\/li>\n\n\n\n<li><strong>Check the Y-intercept:<\/strong> Find the point where the parabola intersects the y-axis.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-ae664a7a61d9b3fc5ead28524561b705\" style=\"color:#a39ce4\"><strong>Example<\/strong><\/p>\n\n\n\n<p>Match the quadratic function f(x) = -2x\u00b2 + 4x &#8211; 1 with its graph.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Leading Coefficient: a = -2, so the parabola opens downward.<\/li>\n\n\n\n<li>Vertex: The vertex can be found using the formula (-b\/2a, f(-b\/2a)) = (1, 1).<\/li>\n\n\n\n<li>Axis of Symmetry: x = 1.<\/li>\n\n\n\n<li>Roots: Solve -2x\u00b2 + 4x &#8211; 1 = 0 to find x = 1\/2 and x = 1.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"640\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-4-1024x640.png\" alt=\"\" class=\"wp-image-13663\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-4-1024x640.png 1024w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-4-300x188.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-4-768x480.png 768w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-4-1536x960.png 1536w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-4-1568x980.png 1568w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-4.png 1600w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>By analyzing these properties, you can match the function with the appropriate graph.<\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#2146b4\">Learn with an example<\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d8d9f7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-667ff8a353223bd606f0bd9a88500f55\" style=\"color:#b00012\"><strong>Match&nbsp;each quadratic function to its&nbsp;graph.<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-not-stacked-on-mobile is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-35-3.png\" alt=\"\" class=\"wp-image-11946\" style=\"width:237px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-35-3.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-35-3-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-35-3-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-35-3-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption class=\"wp-element-caption\"><strong>f(x) = -2x<sup>2 <\/sup> -4x+6<\/strong><\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-36-1.png\" alt=\"\" class=\"wp-image-11947\" style=\"width:236px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-36-1.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-36-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-36-1-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-36-1-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption class=\"wp-element-caption\">g(x) = x<sup>2<\/sup> +10x +26<\/figcaption><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p>To&nbsp;determine which function describes which graph, look at their leading&nbsp;coefficients.<\/p>\n\n\n\n<p>f(x)=\u2013<strong>2<\/strong>x2\u20134x+6<\/p>\n\n\n\n<p>g(x)=<strong>1<\/strong>x2+10x+26<\/p>\n\n\n\n<p>The&nbsp;leading coefficient of&nbsp;f(x)&nbsp;is negative, so its graph opens&nbsp;down.<\/p>\n\n\n\n<p>The&nbsp;leading coefficient of&nbsp;g(x)&nbsp;is positive, so its graph opens&nbsp;up.<\/p>\n\n\n\n<p>Match&nbsp;f(x)&nbsp;and&nbsp;g(x)&nbsp;to their&nbsp;graphs.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-54.png\" alt=\"\" class=\"wp-image-11976\" style=\"width:370px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-54.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-54-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-54-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><figcaption class=\"wp-element-caption\"><strong>g(x) = x<sup>2<\/sup> +10x +26<\/strong><\/figcaption><\/figure><\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-55.png\" alt=\"\" class=\"wp-image-11977\" style=\"width:360px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-55.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-55-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-55-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><figcaption class=\"wp-element-caption\"><strong>f(x) = -2x<sup>2 <\/sup> -4x+6<\/strong><\/figcaption><\/figure><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#aeeaea\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-667ff8a353223bd606f0bd9a88500f55\" style=\"color:#b00012\"><strong>Match&nbsp;each quadratic function to its&nbsp;graph.<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-not-stacked-on-mobile is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-37-2.png\" alt=\"\" class=\"wp-image-11954\" style=\"width:232px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-37-2.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-37-2-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-37-2-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-37-2-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption class=\"wp-element-caption\"><strong>f(x) = x<sup>2<\/sup> +10x +18<\/strong><\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-38-2.png\" alt=\"\" class=\"wp-image-11955\" style=\"width:235px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-38-2.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-38-2-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-38-2-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-38-2-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption class=\"wp-element-caption\">g(x) = -x<sup>2 <\/sup> +2<\/figcaption><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p>To&nbsp;determine which function describes which graph, look at their leading&nbsp;coefficients.<\/p>\n\n\n\n<p>f(x)=<strong>1<\/strong>x<sup>2<\/sup>+10x+18<\/p>\n\n\n\n<p>g(x)=\u2013<strong>1<\/strong>x<sup>2<\/sup>+2<\/p>\n\n\n\n<p>The&nbsp;leading coefficient of&nbsp;f(x)&nbsp;is positive, so its graph opens&nbsp;up.<\/p>\n\n\n\n<p>The&nbsp;leading coefficient of&nbsp;g(x)&nbsp;is negative, so its graph opens&nbsp;down.<\/p>\n\n\n\n<p>Match&nbsp;f(x)&nbsp;and&nbsp;g(x)&nbsp;to their&nbsp;graphs.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-52.png\" alt=\"\" class=\"wp-image-11973\" style=\"width:352px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-52.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-52-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-52-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><figcaption class=\"wp-element-caption\"><strong>f(x) = x<sup>2<\/sup> +10x +18<\/strong><\/figcaption><\/figure><\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-53.png\" alt=\"\" class=\"wp-image-11975\" style=\"width:357px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-53.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-53-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-53-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><figcaption class=\"wp-element-caption\">g(x) = -x<sup>2 <\/sup> +2<\/figcaption><\/figure><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#e7cbf7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-667ff8a353223bd606f0bd9a88500f55\" style=\"color:#b00012\"><strong>Match&nbsp;each quadratic function to its&nbsp;graph.<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-not-stacked-on-mobile is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-39-1.png\" alt=\"\" class=\"wp-image-11961\" style=\"width:235px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-39-1.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-39-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-39-1-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-39-1-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption class=\"wp-element-caption\"><strong>g(x) = -x<sup>2<\/sup> -8x-<\/strong>9<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-40-1.png\" alt=\"\" class=\"wp-image-11962\" style=\"width:249px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-40-1.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-40-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-40-1-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-40-1-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption class=\"wp-element-caption\"><strong>f(x) = 2x<sup>2<\/sup> -4x-<\/strong>4<\/figcaption><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p>To&nbsp;determine which function describes which graph, look at their leading&nbsp;coefficients.<\/p>\n\n\n\n<p>f(x)=<strong>2<\/strong>x<sup>2<\/sup>\u20134x\u20134<\/p>\n\n\n\n<p>g(x)=\u2013<strong>1<\/strong>x<sup>2<\/sup>\u20138x\u20139<\/p>\n\n\n\n<p>The&nbsp;leading coefficient of&nbsp;f(x)&nbsp;is positive, so its graph opens&nbsp;up .The&nbsp;leading coefficient of&nbsp;g(x)&nbsp;is negative, so its graph opens&nbsp;down . Match&nbsp;f(x)&nbsp;and&nbsp;g(x)&nbsp;to their&nbsp;graphs.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__39_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-11969\" style=\"width:358px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__39_-removebg-preview-1.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__39_-removebg-preview-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__39_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><figcaption class=\"wp-element-caption\"><strong><strong>g(x) = -x<sup>2<\/sup> -8x-9<\/strong><\/strong><\/figcaption><\/figure><\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-51.png\" alt=\"\" class=\"wp-image-11971\" style=\"width:406px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-51.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-51-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-51-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><figcaption class=\"wp-element-caption\"><strong>f(x) = 2x<sup>2<\/sup> -4x-4<\/strong><\/figcaption><\/figure><\/div><\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76712\/288\/827\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-58.png\" alt=\"\" class=\"wp-image-6977\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-58.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-58-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-58-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76761\/904\/553\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-76.png\" alt=\"\" class=\"wp-image-6978\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-76.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-76-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-76-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Match quadratic functions and graphs Key Notes : Understanding Quadratic Functions and Graphs Key Properties of Quadratic Graphs Matching Quadratic Functions and Graphs Example Match the quadratic function f(x) = -2x\u00b2 + 4x &#8211; 1 with its graph. By analyzing these properties, you can match the function with the appropriate graph. Learn with an example<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/j-11-match-quadratic-functions-and-graphs\/\">Continue reading <span class=\"screen-reader-text\">&#8220;J.11 Match quadratic functions and graphs&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-206","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/206","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=206"}],"version-history":[{"count":25,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/206\/revisions"}],"predecessor-version":[{"id":13665,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/206\/revisions\/13665"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=206"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}