Find the axis of symmetry of the curve \(y = x^{2} - 4x - 12\).
FURTHER MATHEMATICS
WAEC 2010
Find the axis of symmetry of the curve \(y = x^{2} - 4x - 12\).
- A. x = -2
- B. y = -2
- C. x = 2
- D. y = 2
Correct Answer: C. x = 2
Explanation
The vertical line \(x = \frac{-b}{2a}\) is the axis of symmetry of the curve.
\(y = x^{2} - 4x - 12\)
\(\text{Axis of symmetry} = x = \frac{-(-4)}{2(1)} = \frac{4}{2} = 2\)
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