Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$y = 2 x ^ { 2 } + 5$$
A) origin
B) $y$-axis
C) $x$-axis
D) $x$-axis, $y$-axis, origin
E) none

Question

Quizplus · Accepted Answer

The graph of $y = 2x^2 + 5$ is symmetric with respect to the y-axis because it is a parabola opening upwards with its vertex along the y-axis. The equation does not change when $x$ is replaced with $-x$, indicating y-axis symmetry. It is not symmetric with respect to the x-axis or the origin.

Determine Whether the Graph of the Equation Is Symmetric with Respect