Which of the following is represented by the above sketch?
Attached Figure / Diagram
A
y = x2 + x - 6
B
y = x2 - x - 6
C
y = x2 - x + 6
D
y = x2 + x + 6
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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.
Source: Myschool Past Questions Archive (Record #26539)