Question

Please Please help !!

Answer 1

Answer:

When y = |x + h|, the graph is shifted (or translated) to the left.

When y = |x - h|, the graph is shifted (or translated) to the right.

Step-by-step explanation:

Part A:

The parent function of vertex graphs are y = |x|, and any transformations done to y = |x| are shown in this format (also known as vertex form): y = a|x - h| + k

(h , k) is the vertex of the graph.

So, for the first part, what y = |x + h| is saying is y = |x -  (-h)|.

The -h is substituted for h, and negatives cancel out, resulting in x + h.

This translates to the left of the graph.

Part B:

For the second part, y = |x - h| looks just like the normal vertex form. In this one, we are just plugging in a positive value for h.

This translates to the right of the graph.