Exercise 33 Page 896

Let's consider the given function. Now, we will compare our function with the general form of a transformed sine function. Because $a=2$ and $b=1,$ the desired graph is a translation of $y=2\sin x.$ This is a vertical stretch of the graph of its parent function $y=\sin x$ by a factor of $2.$ Let's sketch one cycle of this function.

Since $k=\text{-}4,$ the graph of the given function translates the graph of $y=2\sin x$ down by $4$ units.

Finally, we will draw the obtained graph in the interval from $0$ to $2\pi .$