Q 25. - Precalculus Enhanced with Graphing Utilities

Question

Match the given function to one of the graphs.

$y=-3\sin \left(2x\right)$.

Step-by-Step Solution

Answer

The correct option is (H).

The graph is 

Step 1. Given Information.

Match the given function to one of the graphs.

$y=-3\sin \left(2x\right)$.

Step 2. Graphing Utility.

The given equation is $y=A\sin \left(\omega x\right)$ where A= amplitude and period $T=\frac{2\mathrm{\pi }}{\omega }$.

So, on comparing we get,

$A=-3, \omega =2$

Period , $T=\frac{2\mathrm{\pi }}{2}=\mathrm{\pi }$.

The graph is