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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

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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.

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