Answer
The function is even and has symmetry with respect to the y-axis.
Work Step by Step
f(x)=x$^4$-2x$^2$+1
f(-x)=(-x)$^4$-2(-x)$^2$+1
f(-x)=x$^4$-2x$^2$+1
-f(x)=-(x$^4$-2x$^2$+1)
-f(x)=-x$^4$+2x$^2$-1
Since f(-x)=f(x), the function is even. Even functions have symmetry with respect to the y-axis.
