Question

Correct Graph of $y=-3\sin (x-\pi )+2$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

In the given function $y=-3\sin (x-\pi )+2$, the fundamental function involved is $\sin x$. we can apply transformations to $sinx$ to get the required graph.

The graph of $y=\sin x$ is given by

Apply horizontal shift by $\pi$ to get $y=\sin (x-\pi )$ as shown below

Now, apply the stretch transformation to the above graph, to get $y=-3\sin (x-\pi )$ as shown below

Using the vertical shift transformation by 2 units to above function and we will get graph of $y=-3\sin (x-\pi )+2$ as shown below

Hence option (a) represents the correct graph.