Answer:
Shift right by 3 units.
Second option is correct.
Step-by-step explanation:
The parent function is given by [tex]y=x^2[/tex]
The translated function is [tex]y=(x-3)^2[/tex]
The transformation rule is:
When we subtract some constant "c" to the x values of the function f(x) then the graph will shift right by "c" units. And the transformation function would be f(x-c).
Now, here 3 is subtracted in the x value of the parent function [tex]y=x^2[/tex] to get the function [tex]y=(x-3)^2[/tex]
Therefore, the graph of the transformation function would shift right by 3 units.
We can see it in the attached graph as well. The vertex of the parabola [tex]y=x^2[/tex] is at (0,0) and the vertex of the parabola [tex]y=(x-3)^2[/tex] is at (3,0).
It means that graph has shifted 3 units to the right.
Second option is correct.
