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WAEC Further Mathematics 2015 Question 17

Question 17

Integration

The gradient of a curve at the point (−2, 0) is 3x2 − 4x. Find the equation of the curve.

  1. A.y = 6x − 4
  2. B.y = 6x2 − 4 + 12
  3. C.y = x3 − 2x2
  4. D.y = x3 − 2x2 + 16
Show the answer and explanation

Answer: D (y = x3 − 2x2 + 16)

Explanation

y = x³ − 2x² + k; through (−2, 0): −8 − 8 + k = 0, k = 16.