XMS 2EM WA2 2021 Q7
XMS 2EM WA2 2021 Q7
Secondary 2
5 marks
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.
| \(x\) | \(-4\) | \(-3\) | \(-2\) | \(-1\) | \(0\) | \(1\) |
|---|---|---|---|---|---|---|
| \(y\) | \(5\) | \(-3\) | \(p\) | \(-7\) | \(-3\) | \(5\) |
- Find the value of \(p\).[1]
- 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 \(-4 \le x \le 1\).[2]
- Use your graph in (b) to find
- the value of \(y\) when \(x = -2.5\)[1]
- the equation of the line of symmetry of the graph[1]
Solution:
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Answer:(a) \(p=-7\) (b) Graph shown in working (c)(i) \(y\approx-5.5\) (ii) \(x=-1.5\)
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