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WAEC Mathematics 2002 Question 19

Question 19

Graphs of Functions

Which of the following is represented by the above sketch?

Diagram for this question
  1. A.y = x2 + x − 6
  2. B.y = x2 − x − 6
  3. C.y = x2 − x + 6
  4. D.y = x2 + x + 6
Show the answer and explanation

Answer: B (y = x2 − x − 6)

Explanation

The curve cuts the x-axis at −2 and 3: y = (x + 2)(x − 3) = x2 − x − 6 (and y = −6 at x = 0).