(a) Complete the table below. Draw the graph of \(y = 2x^2 - 5\) for values of \(x\) between –2 and 3. Use the graph paper below. Choose a suitable scale for the \(y\)-axis. [4]
\(x\)
–2
–1
0
1
2
3
\(y = 2x^2 - 5\)
3
–5
–3
3
13
(b)
The sketch above can represent only one of the equations given below. Circle this equation. [1]
Scale on y-axis ‘2cm square ≡ 5 units’. OR ‘2cm square ≡ 4 units’.
B1
B0 for ‘2cm square ≡ 10 units’.
At least 5 correct plots and no incorrect plot.
P1
F.T. ‘their (−1,−3)’ AND ‘their uniform scale’ if possible. Allow ±’½ a small square’.
A smooth curve drawn through their plots.
C1
F.T. ‘their 6 plots’ OR a curve through the 5 given plots and (−1,−3). Allow for the intention to pass through their plots. (± 1 small square horizontal OR vertical).
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