We have the following function given:
[tex]y=x^2+96[/tex]If we want to test the symmetry respect y axis we need to check the following:
[tex]f(x)=f(-x)[/tex]And for this case we see that we satisfy the condition since:
[tex]y(-x)=(-x)^2+96=y(x)[/tex]And we can conclude that is not symmetric respect to the x axis since we don't satisfy this condition:
[tex]y(-x)=-y(x)[/tex]Final answer: This function is just symmetric respect the y axis
