Question

18) Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin.

Answer 1

Answer:

x-axis only.

Step-by-step explanation:

2x = 5y2 - 3

Convert to vertex form:

x = 5/2 y^2 - 3/2

This is a parabola  with axis of symmetry  y = 0. The vertex is at (-3/2, 0) and it opens to the right.

The axis of symmetry is the x-axis ( y = 0).