Question

From the parent function y = sin(x), the function shown in the graph is shifted

Answer 1

The first option will be correct

Answer 2

Answer:

The parent graph shift $\dfrac{\pi}{4}$ units right.

Option 1 is correct

Step-by-step explanation:

Given: The parent function $y=\sin x$

The graph shown is sifted of parent function.

In graph we can see graph shift horizontally.

It will change in x only.

As we know sine function start from (0,0).

At starting point the value of y is 0.

We will see the value of y is 0 in shifted graph at which value of x.

In graph we can see at $x=\dfrac{\pi}{4}$ y is 0.

It means graph shift $\dfrac{\pi}{4}$ unit right because in horizontal shifting the value of y doesn't change.

Please see the attachment for parent and shifted graph. How to shift.

Hence, The parent graph shift $\dfrac{\pi}{4}$ units right.