<p>The diagram shows the graph of \(y = x^2 - x - 5\) for&nbsp;\(-3 \le x \le 4\).<br>Use the graph to answer the following questions. Present your solutions on the next page.</p>
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<ol class="i-list"><li><div class="list-item-paragraph"><strong>Using the above graph,</strong></div><ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">find the value of \(y\) when&nbsp;\(x = 3\)</span><span class="inline-marks">[1]</span></div></li><li><div class="list-item-content"><span class="list-item-text">write down the coordinates of the turning point,</span><span class="inline-marks">[1]</span></div></li><li><div class="list-item-content"><span class="list-item-text">write down the equation of the line of symmetry,</span><span class="inline-marks">[1]</span></div></li><li><div class="list-item-content"><span class="list-item-text">estimate the solutions of the equation \(x^2 - x - 5 = 0\).</span><span class="inline-marks">[1]</span></div></li></ol></li><li><div class="list-item-content"><span class="list-item-text">A suitable straight line is to be drawn on the same diagram to solve the equation \(x^2 - 3x - 2 = 0\).</span></div><ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">State the equation of the straight line to be drawn.</span><span class="inline-marks">[1]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Explain how the straight line in <strong>(ii)(a)</strong> drawn on the graph can lead to an estimation of the solution(s) to the equation \(x^2 - 3x - 2 = 0\).</span><span class="inline-marks">[1]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Hence solve \(x^2 - 3x - 2 = 0\) graphically.</span><span class="inline-marks">[1]</span></div></li></ol></li></ol>

The diagram shows the graph of \(y = x^2 - x - 5\) for \(-3 \le x \le 4\).
Use the graph to answer the following questions. Present your solutions on the next page.

write down the coordinates of the turning point,

write down the equation of the line of symmetry,

estimate the solutions of the equation \(x^2 - x - 5 = 0\).

A suitable straight line is to be drawn on the same diagram to solve the equation \(x^2 - 3x - 2 = 0\).

State the equation of the straight line to be drawn.

Explain how the straight line in **(ii)(a)** drawn on the graph can lead to an estimation of the solution(s) to the equation \(x^2 - 3x - 2 = 0\).

Hence solve \(x^2 - 3x - 2 = 0\) graphically.

IP2 Class Test (May 2025) Q10 (2024 RGS Y2 CBA1 Q5)

IP2 Class Test (May 2025) Q10 (2024 RGS Y2 CBA1 Q5)

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