Question

Consider the function f(x)=x^2-5. If g(x)=f(x-7), what can be said about g(x)? check all that apply

Answer 1

Answer:

See explanation

Step-by-step explanation:

The given functions are:

$f(x) = {x}^{2} - 5$

and

$g(x) = f(x - 7)$

We substitute x-7, wherever we see x in f(x) to obtain:

$g(x) = {(x - 7)}^{2} - 5$

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.