# Transforms $g(x) = af(b(x-h))+k$ - $a =$ Vertical Stretch/Compression - $|a| > 1 =$ Vertical Stretch - $0 < |a| < 1 =$ Vertical Compression - $-a =$ X axis Reflection - $b =$ Horizontal Stretch/Compression - $|b| > 1 =$ Horizontal Compression - $0 < |b| < 1 =$ Horizontal Stretch - $-b =$ Y axis Reflection - $h =$ Horizontal Shift - $+h =$ Shift to the Right - $-h =$ Shift to the Left - $k =$ Vertical Shift - $+k =$ Shifts Upward - $-k =$ Shifts Downward - Vertex $(x,y)$ is $h=x$ and $k=y$ $f(x)=Alog_b(B(x-h))+k$