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.
-$$x ^ { 2 } - y ^ { 2 } = 4$$
A) origin only
B) $y$-axis, origin
C) x-axis, y-axis
D) $x$-axis, $y$-axis, origin

Question

Quizplus · Accepted Answer

The equation is symmetric with respect to the $x$-axis, $y$-axis, and origin because replacing $x$ with $-x$, $y$ with $-y$, or both does not change the equation.

Determine Whether the Equation Has a Graph That Is Symmetric x2−y2=4x ^ { 2 } - y ^ { 2 } = 4x2−y2=4

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