Question

What is the equation for the given graph expressed in the form of y=a|x-h|+k?

Answer 1

Answer:

$a=5\\ \\h=0\\ \\k=-5\\ \\y=5|x|-5$

Step-by-step explanation:

Consider the parent function $y=|x|.$ (The graph of this function is represented by green curve in attached diagram)

1. Stretch this function by a factor of 5. The function $y=5|x|$ represents this stretched function and the graph of this function is blue graph in attached diagram.

2. Translate the graph of the function $y=5|x|$ 5 units down and get the function $y=5|x|-5$ (red graph in attached diagram). This is exactly the graph of the function shown in the task, so

$a=5\\ \\h=0\\ \\k=-5$