(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 \(-4 \leq x \leq 4\)

Explanation

(a) \(y = x^{2} - 2x - 2\)

x-4-3-2-101234
\(x^{2}\)16941014916
\(-2x\)86420-2-4-6-8
\(-2\)-2-2-2-2-2-2-2-2-2
\(y\)221361-2-3-216

(b)graph

(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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