Question

A - g(x) = |x-5|+5
B - g(x) = |x-5|
C - g(x) = |x|+5
D - g(x) = |x+5|+5

Answer 1

`g(x) = |x| + 5`

Explanation:

Since both the original and transformed graph have the same x value for their vertex, there was no horizontal shift. However the vertex shifted up. Specifically it shifted up 5 units. Therefore:

`g(x) = f(x) + 5`

The plus 5 performs a translation up 5 units. Plugging in for f(x) it can be seen that:

`g(x) = |x| + 5`