A parabola and a circle each contain the points (-5, 0), (0, 5), and (5, 0). Choose the graph that shows each curve on the same coordinate system.
A) Circle: ; parabola:
B) Circle: ; parabola:
C) Circle: ; parabola:
D) Circle: ; parabola:

Question

A parabola and a circle each contain the points (-5, 0), (0, 5), and (5, 0). Choose the graph that shows each curve on the same coordinate system.
A) Circle: ; parabola: 
B) Circle: ; parabola: 
C) Circle: ; parabola: 
D) Circle: ; parabola:

Quizplus · Accepted Answer

Choice C represents a circle and a parabola that contain the given points. The circle passes through (-5,0), (5,0), and (0,5) and has its center at (0,0). The parabola also passes through (-5,0), (5,0), and (0,5) and has its vertex at (0,10). Choices A, B, and D do not contain a parabola that passes through all three points.

A Parabola and a Circle Each Contain the Points (-5