A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.
- y = \(x^2 - 5x - 6\)
- y = \(x^2 + 5x - 6\)
- y = \(x^2 + x - 6\)
-
y = \(x^2 - x - 6\)
The correct answer is: D
Explanation
Since the curve cuts the x-axis at x = -2 and x = 3,
(x + 2)(x - 3) = 0
\(x^2 - 3x + 2x - 6\) = 0
\(x^2 - x - 6\) = 0
Hence, the equation of the curve is
y = \(x^2 - x - 6\)