<p>The variables \(x\) and \(y\) are connected by the equation \(y = x^2 - x - 6\).</p>
<p>Some corresponding values of \(x\) and \(y\) are given in the table below.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 450px;"><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;"><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">\(-3\)</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><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">\(3\)</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(4\)</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">\(6\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(0\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(-4\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(-6\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(-6\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(-4\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(0\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(6\)</td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Draw the graph of \(y = x^2 - x - 6\).<br>Using a scale of \(2\) cm to represent \(1\) unit, draw a horizontal \(x\)-axis for&nbsp;\(-3 \leq x \leq 4\).<br>Using a scale of \(1\) cm to represent \(1\) unit, draw a vertical \(y\)-axis for&nbsp;\(-8 \leq y \leq 6\).<br>On your axes, plot the points given in the table and join them with a smooth curve.<span class="inline-marks">[3]</span></div></li><li><div class="list-item-paragraph">Use your graph to find</div><ol class="i-list"><li><div class="list-item-paragraph">the minimum value of \(y\).<span class="inline-marks">[1]</span></div></li><li><div class="list-item-paragraph">the equation of the line of symmetry.<span class="inline-marks">[1]</span></div></li></ol></li></ol>

The variables \(x\) and \(y\) are connected by the equation \(y = x^2 - x - 6\).

Some corresponding values of \(x\) and \(y\) are given in the table below.

Draw the graph of \(y = x^2 - x - 6\).
Using a scale of \(2\) cm to represent \(1\) unit, draw a horizontal \(x\)-axis for \(-3 \leq x \leq 4\).
Using a scale of \(1\) cm to represent \(1\) unit, draw a vertical \(y\)-axis for \(-8 \leq y \leq 6\).
On your axes, plot the points given in the table and join them with a smooth curve.

HIHS 2EM WA3 2020 Q5

HIHS 2EM WA3 2020 Q5