Question

Each equation given below describes a parabola. Which statement best compares their graphs?

x=2y^2 x=8y^2

A. Both parabolas open upward, and x=2y^2 is wider than x=2y^2.
B. Both parabolas open upwards, and x=8y^2 is wider than x=2y^2.
C. Both parabolas open to the right, and x=8^2 is wider than x=2y^2.
D. Both parabolas open to the right, and x=2y^2 is wider than x=8y^2

Answer 1

The correct answer is D. Both parabolas open to the right, and x=2y^2 is wider than x=8y^2

Explanation:

We can tell this since it is an x = equation, then it must open to the right of left. Since they are both positive, it would be the right.

Secondly, as the coefficient gets higher, the lines get steeper. Therefore, we know that 8 is steeper than 2 and is less wide.