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JAMB Mathematics 1992 Question 17

Question 17

Graphs of Functions

The sketch above is the curve of y = ax2 + bx + c. Find a, b and c respectively

Diagram for this question
  1. A.1, 0, −4
  2. B.−2, 2, −4
  3. C.0, 1, −4
  4. D.2, −2, −4
Show the answer and explanation

Answer: A (1, 0, −4)

Explanation

The curve cuts the y-axis at −4, is symmetric about the y-axis and opens upwards, crossing the x-axis at about ±2. So y = x2 − 4: a = 1, b = 0, c = −4.