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

Answer:

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

Step-by-step 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:

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