Determine whether the equation has a graph that is symmetric with respect to the y -axis, the x-axis, the origin, or none
of these.
-$$y = 4 x ^ { 2 } + 5$$
A) $y$-axis only
B) $x$-axis only
C) $x$-axis, $y$-axis, origin
D) origin only

Question

Quizplus · Accepted Answer

The equation $y = 4x^2 + 5$ is symmetric with respect to the y-axis because replacing $x$ with $-x$ yields the same equation, indicating that the graph is mirrored across the y-axis. It is not symmetric with respect to the x-axis or the origin.

Determine Whether the Equation Has a Graph That Is Symmetric y=4x2+5y = 4 x ^ { 2 } + 5y=4x2+5

Determine Whether the Equation Has a Graph That Is Symmetric $y = 4 x ^ { 2 } + 5$