Question

Graph:$y=3\sin (2x+\mathrm{\pi })$

Short answer

The graph of the function:

Step-by-step solution

Step 1. Given information.

The function to be plotted is :$y=3\sin (2x+\mathrm{\pi })$

Step 2. Graph of y=sinx.

Step 3. Graph of y=3sinx

Vertically stretch the above graph by a factor of 3.

Step 4. Graph of y=3sin(2x).

Horizontally compress the above graph by a factor of $\frac{1}{2}$.

Step 5. Graph of y=3sin2x+π

Horizontally shift the above graph by $\mathrm{\pi }$unit to the right.