Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$4 x ^ { 2 } + 16 y ^ { 2 } = 64$$
A) x-axis
B) origin
C) y-axis
D) x-axis, y-axis, origin
E) none

Question

Quizplus · Accepted Answer

The graph is symmetric with respect to the x-axis, y-axis, and origin because the equation is unchanged when x is replaced by -x, y is replaced by -y, or both x and y are replaced by -x and -y, respectively.

Determine Whether the Graph of the Equation Is Symmetric with Respect