A curve is such that when y = 0, x = -2 or x =…

A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.

  • A.
    y = (x^2 – 5x – 6)
  • B.
    y = (x^2 + 5x – 6)
  • C.
    y = (x^2 + x – 6)
  • D.
    y = (x^2 – x – 6)
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)

 

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