Answer: See the graph attached.
Step-by-step explanation:
Given the Quadratic function:
[tex]f(x)=x^2[/tex]
We can identify that it is the "Parabola parent function". The parabola passes through the origin.
There are some tranformations for a function f(x). Two of them are the following:
If [tex]f(x+k)[/tex], the function is shifted "k" units to the left.
If [tex]f(x-k)[/tex], the function is shifted "k" units to the right.
Therefore, given that:
[tex]f (x - 3)[/tex]
We can identify that this is the function [tex]f(x)=x^2[/tex] but shifted 3 units to the right:
[tex]f (x - 3)=(x-3)^2[/tex]
Knowing this, we can conclude that the graph that represents [tex]f (x - 3)[/tex] is the graph attached.
