Which of the following is represented by the above sketch?

A.
y = x^{2} + x – 6 
B.
y = x^{2} – x – 6 
C.
y = x^{2} – x + 6 
D.
y = x^{2} + x + 6
Correct Answer: Option B
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.