Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$x ^ { 2 } + y - 81 = 0$$
A) x-axis
B) y-axis
C) origin
D) x-axis, y-axis, origin
E) none

Question

Quizplus · Accepted Answer

The equation $x^2 + y - 81 = 0$ can be rewritten as $y = 81 - x^2$, which is a parabola opening downwards. It is symmetric with respect to the y-axis because replacing $x$ with $-x$ yields the same equation. It is not symmetric with respect to the x-axis or the origin.

Determine Whether the Graph of the Equation Is Symmetric with Respect