<p></p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 450px;"><colgroup><col style="width: 100px;"><col style="width: 200px;"><col style="width: 150px;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"></th><th style="text-align: center; --cell-justify: center"><p><strong>Shape of graph</strong></p></th><th style="text-align: center; --cell-justify: center"><p><strong>Line of symmetry</strong></p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p>\(a &gt; 0\)</p></td><td style="text-align: center; --cell-justify: center"><div class="graph-block" data-graph-config="eyJheGlzIjp0cnVlLCJncmlkIjpmYWxzZSwid2lkdGgiOjE1MCwiaGVpZ2h0IjoxMDAsImVsZW1lbnRzIjpbeyJpZCI6IjQzMGNlNTU2LTFiYTktNDBmYS04ZDZlLTlkYzFkOGM2ZjM0NiIsInR5cGUiOiJmdW5jdGlvbmdyYXBoIiwiY29sb3IiOiIjMDAwMDAwIiwiZXhwcmVzc2lvbiI6InheMiAtIDQiLCJzdHJva2VXaWR0aCI6MS41fSx7ImlkIjoiMTZiZDRiOTQtYWY0Zi00NGRkLTk2ZjQtNjA0ZjU4ZmM1ZjE3IiwidHlwZSI6InBvaW50IiwieCI6MiwieSI6MCwiY29sb3IiOiIjMDAwMDAwIiwibGFiZWwiOiJcXChwXFwpIiwicG9pbnRTaXplIjoxLCJsYWJlbE9mZnNldCI6WzAsLTEwXX0seyJpZCI6ImVhNmRiZWI2LTNkYzQtNDkzMy05YTYwLTc3MWUxMWJlOTZmNiIsInR5cGUiOiJwb2ludCIsIngiOi0yLCJ5IjowLCJjb2xvciI6IiMwMDAwMDAiLCJsYWJlbCI6IlxcKHFcXCkiLCJwb2ludFNpemUiOjEsImxhYmVsT2Zmc2V0IjpbLTEwLC0xMF19XSwic2hvd1lBeGlzIjpmYWxzZSwieEF4aXNMYWJlbCI6IlxcKHhcXCkiLCJ5QXhpc0xhYmVsIjoiXFwoeVxcKSIsImJvdW5kaW5nQm94IjpbLTUsNSw1LC00LjVdLCJvcmlnaW5MYWJlbCI6IlxcKE9cXCkiLCJncmlkU2V0dGluZ3MiOnsibWFqb3JDb2xvciI6IiM5NGEzYjgiLCJtYWpvclN0ZXBYIjoxLCJtYWpvclN0ZXBZIjoxLCJtaW5vckNvbG9yIjoiI2NiZDVlMSIsIm1ham9yT3BhY2l0eSI6MC40NSwibWlub3JPcGFjaXR5IjowLjQ1LCJtaW5vckVsZW1lbnRzWCI6MSwibWlub3JFbGVtZW50c1kiOjEsIm1ham9yU3Ryb2tlV2lkdGgiOjAuOCwibWlub3JTdHJva2VXaWR0aCI6MC41fSwic2hvd0F4aXNMYWJlbHMiOmZhbHNlLCJzaG93TmF2aWdhdGlvbiI6ZmFsc2UsImtlZXBBc3BlY3RSYXRpbyI6dHJ1ZSwieEF4aXNMYWJlbE9mZnNldCI6WzIsLTExXSwieUF4aXNMYWJlbE9mZnNldCI6Wy0xNCw1XSwib3JpZ2luTGFiZWxPZmZzZXQiOlstNSwtMl19" data-width="150" data-height="100" style="width:150px;height:100px;max-width:100%;display:block;margin:0 auto;"></div></td><td style="text-align: center; --cell-justify: center"><p>\(x = \frac{p + q}{2}\)</p></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>\(a &lt; 0\)</p></td><td style="text-align: center; --cell-justify: center"><div class="graph-block" data-graph-config="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" data-width="150" data-height="100" style="width:150px;height:100px;max-width:100%;display:block;margin:0 auto;"></div></td><td style="text-align: center; --cell-justify: center"><p>\(x = \frac{p + q}{2}\)</p></td></tr></tbody></table></div></div>
<p>The maximum point of the quadratic function will lie on the line of symmetry.</p>

The maximum point of the quadratic function will lie on the line of symmetry.

Quadratic Functions in the form of $y=a\left( x-p \right)\left( x-q \right)$

Quadratic Functions in the form of $y=a\left( x-p \right)\left( x-q \right)$