## College Algebra 7th Edition

reflect $f(x)$ around the $y$ and $x$ axes and shift 6 units up
To obtain $g(x)$, we take $f(x)$ and apply the transformation $g(x)=-f(-x)+6$. That is, we reflect $f(x)$ around the $y$ and $x$ axes, and shift the graph 6 units up.