Answer
See below.
Work Step by Step
We know that if a function is odd, then $f(-x)=-f(x).$
We know that if a function is even, then $f(-x)=f(x).$
Hence we plug in $-x$ to see what happens.
$f(-x)=(-x)^4-2(-x)^2+1=x^4-2x^2+1=f(x).$ Therefore the function is even, thus it is symmetric to the y-axis.
