<s>[INST] How is the 'Answer' achieved in the 'Problem' after x,y-axis reflection? Problem: $f(x) = x^3 - x^2 + x – 1$ is reflected in both the $x$-axis and $y$-axis.  What is the final equation to represent this transformation?
Answer: $x^3 + x^2 + x +1$
My solution: let $g(x)=-f(x)$ << reflection across $x$-axis and $h(x)$ be $g(-x)$ << reflection across $y$-axis.
I ended up having: 
$g(x) = -x^3 +x^2 -x+1$ << multiplied every term in $f(x)$ by $-1$
$h(x) = g(-x) = -(-x^3 +x^2 -x)+1 $
MY FINAL ANSWER: $h(x)=x^3 +x^2 -x+1$ which is different from the equation at 'Answer', how do I achieve the equation in 'Answer'? 
 [/INST] $$-f(-x) = - [(-x)^{3} - (-x)^{2} + (-x) - 1 ] = - [-x^{3} - x^{2} - x - 1] = x^{3} + x^{2} + x + 1 $$
</s>