Answer:
The graph is symmetric about the x-axis, the y-axis, and the origin
Explanation:
A graph can be symmetric about the x-axis, about the y-axis, and about the origin.
To know if the graph is symmetric about the x-axis, we need to replace y by -y and determine if the equation is equivalent. So,
If we replace y with -y, we get:
Therefore, the graph is symmetric about the x-axis.
The graph is symmetric about the y-axis if we replace x by -x and we get an equivalent equation. So:
Since both equations are equivalent, the graph of the equation is symmetric about the y-axis
The graph is symmetric about the origin if we replace x by -x and y by -y and we get an equivalent equation. So:
Therefore, the graph is symmetric about the origin.