<p>The variable \(x\) and \(y\) are connected by the equation \(y = 2x^2 + 6x - 3\). Some values of \(x\) and the corresponding values of \(y\) are given in the table.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 350px;"><colgroup><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"></colgroup><thead><tr style="height: 23px;"><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(x\)</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(-4\)</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(-3\)</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(-2\)</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(-1\)</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(0\)</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(1\)</th></tr></thead><tbody><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(y\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(5\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(-3\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(p\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(-7\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(-3\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(5\)</td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find the value of \(p\).</span><span class="inline-marks">[1]</span></div></li><li><div class="list-item-content"><span class="list-item-text">On the graph grid below, using a scale of \(2\) cm to represent \(1\) unit on the \(x\)-axis and \(1\) cm to represent \(1\) unit on the \(y\)-axis, draw the graph of \(y = 2x^2 + 6x - 3\) for&nbsp;\(-4 \le x \le 1\).</span><span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">Use your graph in <strong>(b)</strong> to find</div><ol class="i-list"><li><div class="list-item-paragraph">the value of \(y\) when&nbsp;\(x = -2.5\)<span class="inline-marks">[1]</span></div></li><li><div class="list-item-paragraph">the equation of the line of symmetry of the graph<span class="inline-marks">[1]</span></div></li></ol></li></ol>

The variable \(x\) and \(y\) are connected by the equation \(y = 2x^2 + 6x - 3\). Some values of \(x\) and the corresponding values of \(y\) are given in the table.

On the graph grid below, using a scale of \(2\) cm to represent \(1\) unit on the \(x\)-axis and \(1\) cm to represent \(1\) unit on the \(y\)-axis, draw the graph of \(y = 2x^2 + 6x - 3\) for \(-4 \le x \le 1\).

XMS 2EM WA2 2021 Q7

XMS 2EM WA2 2021 Q7