Answer:
[tex]a=5\\ \\h=0\\ \\k=-5\\ \\y=5|x|-5[/tex]
Step-by-step explanation:
Consider the parent function [tex]y=|x|.[/tex] (The graph of this function is represented by green curve in attached diagram)
1. Stretch this function by a factor of 5. The function [tex]y=5|x|[/tex] represents this stretched function and the graph of this function is blue graph in attached diagram.
2. Translate the graph of the function [tex]y=5|x|[/tex] 5 units down and get the function [tex]y=5|x|-5[/tex] (red graph in attached diagram). This is exactly the graph of the function shown in the task, so
[tex]a=5\\ \\h=0\\ \\k=-5[/tex]
