Which of the following could be the equation of the parabola in Figure ?

Options

A. `y=(x-2)(x-3)`
B. `y=(x+2)(x+3)`
C. `y=(x+2)(x-3)`
D. `y=(x-2)(x+3)`

Answer

D

Explanation

Try the two given points in the choices. The point (-3, 0) satisfies (B) and (D). The point (2, 0) satisfies (A) and (D). The only choice that works both times is (D).