# How do you graph y = 2\sin^{-1}(2x)?

Nov 6, 2014

Step 1: Sketch the graph of $y = {\sin}^{- 1} x$.

Step 2: Horizontally shrink the graph in Step 1 by a factor of $2$.

Step 3: Vertically shretch the graph in Step 2 by a factor of $2$.

The graph in blue above is the graph of $y = 2 {\sin}^{- 1} \left(2 x\right)$.

I hope that this was helpful.