Answer
yes
Work Step by Step
the graph of the equation is symmetric with respect to both the x-axis and the y-axis then the graph is also symmetric with respect to the origin
if the graph of an equation is symmetric with respect to both the x-axis and the y-axis and it is necessarily symmetric with respect to the origin
thus the required graph of the equation is symmetric with respect to both the x-axis and the y-axis is it necessarily with respect to the origin is: yes