Question

F(x)=x^2 g(x)=x^2-8 we can think of g as a translated (shifted) version of f

Answer 1

Shift f 8 units down.

Explanation:

The complete question is

`f(x) =x^2 ,g(x) ​ =x^2-8`. ​ We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f by___ units.

We know that g is obtained by shifting f, k units up or down (depending of the value of k, if positive, the shifting is up, or down otherwise). At any point x, we get g(x) by adding k units to the value of f(x). That is

`g(x) = f(x)+k`

If we replace the meaning of f,g we get

`x^2-8 = x^2`

by substracting x^2 on both side we get that k = -8. This means that to get g, we must shift f 8 units down