<p>A quadratic curve has equation \(y=ax^2+bx+c\).</p>
<div class="content-block content-block--columns"><div class="question-columns question-columns--2" data-layout="2"><div class="question-column" style="flex: 1; align-self: flex-start;"><div class="graph-block" data-graph-config="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" data-width="250" data-height="180" style="width:250px;height:180px;max-width:100%;display:block;margin:0 auto;"></div><div class="content-box-placement content-box-placement--full content-box-placement--align-center" style="display:flex;justify-content:stretch;max-width:100%"><div class="content-box content-box--panel" data-content-box-preset="panel" style="box-sizing:border-box;border-color:var(--content-box-border, #1E6FBA);border-style:solid;border-width:0px;border-radius:0px;background-color:var(--content-box-background, #F3F6FA);color:var(--content-box-foreground, #111827);padding:10px 11px;font-family:'EB Garamond', serif;font-size:16px;line-height:1.35;width:100%;max-width:100%;border-top-width:2px"><p style="text-align: center">\(a&gt;0\)</p></div></div></div><div class="question-column" style="flex: 1; align-self: flex-start;"><div class="graph-block" data-graph-config="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" data-width="250" data-height="180" style="width:250px;height:180px;max-width:100%;display:block;margin:0 auto;"></div><div class="content-box-placement content-box-placement--full content-box-placement--align-center" style="display:flex;justify-content:stretch;max-width:100%"><div class="content-box content-box--panel" data-content-box-preset="panel" style="box-sizing:border-box;border-color:var(--content-box-border, #1E6FBA);border-style:solid;border-width:0px;border-radius:0px;background-color:var(--content-box-background, #F3F6FA);color:var(--content-box-foreground, #111827);padding:10px 11px;font-family:'EB Garamond', serif;font-size:16px;line-height:1.35;width:100%;max-width:100%;border-top-width:2px"><p style="text-align: center">\(a&lt;0\)</p></div></div></div></div></div>
<p>The line of symmetry is \(x=-\dfrac{b}{2a}\).</p>
<p>The turning point is \(\left(-\dfrac{b}{2a},c-\dfrac{b^2}{4a}\right)\).</p>

A quadratic curve has equation \(y=ax^2+bx+c\).

The line of symmetry is \(x=-\dfrac{b}{2a}\).

The turning point is \(\left(-\dfrac{b}{2a},c-\dfrac{b^2}{4a}\right)\).

Quadratic Curves

Quadratic Curves