Answer
The graph is symmetrical about the x - axis.
The graph is symmetrical about the y - axis.
The graph is symmetrical about the origin.
Work Step by Step
$y^{2} = x^{2} - 5$
Replacing the x with -x does not change the equation, so the graph is symmetrical about the y-axis.
Replacing the y with -y does not change the equation, so the graph is symmetrical about the x-axis.
Replacing the x,y with -x, -y does not change the equation, so the graph is symmetrical about the origin.
