Which of the following is represented by the above sketch?
- y = x2 + x - 6
-
y = x2 - x - 6
- y = x2 - x + 6
- y = x2 + x + 6
The correct answer is: 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.