Question

PLEASEEEE HELPP ME IM BEGGING YOU
Write an equation for the given function.

Answer 1

2|x + 2| + 5

Explanation:

First, let's do the translations. Since g(x) is moved to the left 2 units, we will add 2 inside the absolute value. Now we have |x + 2|. Next, g(x) is translated up 5 units, so we will add 5 outside the absolute value. g(x) is now |x + 2| + 5.

Now, look at the right line of g(x), the line that has a positive slope. What is that slope? It is 2, because everytime we move over 1, we go up 2. So lastly, we put a 2 infront of g(x). It is now 2|x + 2| + 5.