Which of the following is represented by the above sketch?

MATHEMATICS
WAEC 2002

Which of the following is represented by the above sketch?

  • A. y = x2 + x - 6
  • B. y = x2 - x - 6
  • C. y = x2 - x + 6
  • D. y = x2 + x + 6

Correct Answer: B. y = x2 - x - 6

Explanation

From the graph, the zeros of the equation exist at x = -2 and x = 3

\(\therefore\) (x + 2) = 0 and (x - 3) = 0

\(\implies (x + 2)(x - 3) = 0\)

\(x^2 - 3x + 2x - 6 = 0\)

\(x^2 - x - 6 = 0\) is the equation represented on the graph.



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