Answer :
Answer:
See explanation
Step-by-step explanation:
The given functions are:
[tex]f(x) = {x}^{2} - 5[/tex]
and
[tex]g(x) = f(x - 7)[/tex]
We substitute x-7, wherever we see x in f(x) to obtain:
[tex]g(x) = {(x - 7)}^{2} - 5[/tex]
This means g(x) is obtained by shifting f(x) 7 units to the right.
Also we can say g(x) is obtained by shifting the parent quadratic function, 7 units left and 5 units down.
You have not provided the options, but I hope this explanation helps you check the correct answers.