Find the x-intercepts of the parabola:
A) (3,0)
B) (3,0), (-2,0)
C) (0,-3), (3,0)
D) (0,-3), (0,3)
E) (-3,0), (3,0)

Question

Find the x-intercepts of the parabola: 
A) (3,0) 
B) (3,0), (-2,0) 
C) (0,-3), (3,0) 
D) (0,-3), (0,3) 
E) (-3,0), (3,0)

Quizplus · Accepted Answer

Since the parabola only crosses the x-axis and not the y-axis, we know that the vertex is at the origin. Therefore, the x-intercepts must be equidistant from the origin, so they must be symmetric with respect to the y-axis. The only answer choice that has symmetric x-intercepts is E, which gives (-3,0) and (3,0).

Find the X-Intercepts of the Parabola