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JAMB Mathematics 2001 Question 9

Question 9

Graphs of Functions

If two graphs y = px2 + q and y = 2x2 − 1 intersect at x = 2, find the value of p in terms of q.

  1. A.(7 + q)/8
  2. B.(8 − q)/2
  3. C.(9 − 8)/7
  4. D.(7 − q)/4
Show the answer and explanation

Answer: D ((7 − q)/4)

Explanation

At x = 2 the second graph gives y = 2(4) − 1 = 7. The first must give the same: 4p + q = 7, so p = (7 − q)/4.