Answer:
[tex]y = |x + 9| - 6[/tex]
Step-by-step explanation:
Given
[tex]y = |x|[/tex] --- the correct equation
Shifted down 6 units
Shifted left 9 units
Required
The new equation
When function is shifted down by b units, the new function is:
[tex](x,y) = (x,y-b)[/tex]
In this case:
[tex]b =6[/tex]
So, [tex]y = |x|[/tex] becomes
[tex]y =|x| - 6[/tex]
When function is shifted left by b units, the new function is:
[tex](x,y) = (x+b,y)[/tex]
In this case:
[tex]b =9[/tex]
So: [tex]y =|x| - 6[/tex] becomes
[tex]y = |x + 9| - 6[/tex]
