Question

Y = x2 +96 test for symmetry with respect to x-axis y-axis and the origin

Answer 1

We have the following function given:

`y=x^2+96`

If we want to test the symmetry respect y axis we need to check the following:

`f(x)=f(-x)`

And for this case we see that we satisfy the condition since:

`y(-x)=(-x)^2+96=y(x)`

And we can conclude that is not symmetric respect to the x axis since we don't satisfy this condition:

`y(-x)=-y(x)`

Final answer: This function is just symmetric respect the y axis