Answer:
The parent graph shift [tex]\dfrac{\pi}{4}[/tex] units right.
Option 1 is correct
Step-by-step explanation:
Given: The parent function [tex]y=\sin x[/tex]
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 [tex]x=\dfrac{\pi}{4}[/tex] y is 0.
It means graph shift [tex]\dfrac{\pi}{4}[/tex] 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 [tex]\dfrac{\pi}{4}[/tex] units right.
