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WAEC Mathematics 2003 Question 28

Question 28

Graphs of Functions

The graphs above are for the relations y = ax2 + bx + c and y = d − x. The equation y = ax2 + bx + c is equivalent to

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

Answer: C (y = 2 + x − x2)

Explanation

The curve cuts the x-axis at −1 and 2 and opens downwards, with y = 2 at x = 0: y = −(x + 1)(x − 2) = 2 + x − x2.