Question

The function f is defined as follows.

f(x) = x² +6
If the graph of f is translated vertically downward by 8 units, it becomes the graph of a function g.
Find the expression for g(x).
Note that the ALEKS graphing calculator may be helpful in checking your answer.

Answer 1

g(x) = x^2 -2.

Explanation:

Vertical translations are represented by k, which in f(x) is equal to 6. Translating this down 8, we have a k value of -2.