Respuesta :
Answer: The graph is shifted 6 units to the right.
Step-by-step explanation:
It is important to remember that:
When [tex]f(x-k)[/tex], then the function is shifted "k" units to the right.
Knowing this and given the quadratic parent function [tex]y=x^2[/tex] and the function [tex]y-1=\frac{1}{2}(x-6)^2[/tex], you can observe that one of the transformations is the following:
[tex]f(x-k)[/tex]
Where:
[tex]k=6[/tex]
Therefore, you can notice that the effect is:
The graph is shifted 6 units to the right.