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Find the axis of symmetry of the curve \(y = x^{2} - 4x - 12\).

Find the axis of symmetry of the curve \(y = x^{2} - 4x - 12\).
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  • A X = -2
  • B Y = -2
  • C X = 2
  • D Y = 2
Correct Answer: Option C
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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