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

The parent graph shift
`(\pi)/(4)` units right.

Option 1 is correct

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=(\pi)/(4)` y is 0.

It means graph shift
`(\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
`(\pi)/(4)` units right.