Answer: A.
[tex]f(x)=x^2\text{ and }g(x)=(x-3)^2[/tex]
Explanation
Given:
[tex]f(x)=x^2[/tex]
As we want to move the vertex 3 units to the right, this means we have to make a transformation on x (not y). Then, we have to make x = 3 when y = 0, meaning:
[tex]\begin{gathered} x=3 \\ x-3=0 \end{gathered}[/tex]
Thus:
[tex]g(x)=(x-3)^2[/tex]
We have to subtract 3 inside the parenthesis because if we add/subtract 3 outside, it would have an impact on y.
