(a) Copy and complete the table. \(y = x^{2} - 2x - 2\) for \(-4
MATHEMATICS
WAEC 2005
(a) Copy and complete the table.
\(y = x^{2} - 2x - 2\) for \(-4 \leq x \leq 4\)
| x | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 |
| \(x^{2}\) | 16 | 9 | 4 | 1 | 0 | 1 | 4 | 9 | 16 |
| \(-2x\) | 8 | 6 | 4 | 2 | 0 | -2 | -4 | -6 | -8 |
| \(-2\) | -2 | -2 | -2 | -2 | -2 | -2 | -2 | -2 | -2 |
| \(y\) | 22 | 13 | 6 | 1 | -2 | -3 | -2 | 1 | 6 |
(b).jpg)
(c)(i) \(x^{2} - 2x - 2 = 0\)
\(\therefore y = 0 ; x = \text{-0.7 or 2.7}\)
(ii) \(x^{2} - 2x - 4\frac{1}{2} = 0\)
\(x^{2} - 2x - 4\frac{1}{2} + 2\frac{1}{2} = 0 + 2\frac{1}{2}\)
\(x^{2} - 2x - 2 = 2.5\)
When y = 2.5, \(x = \text{-1.3 or 3.3}\).
(iii) Line of symmetry at x = 1.
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