Answer :
we have the equation
[tex]y=-\frac{1}{3}\mleft|x\mright|-5[/tex]the parent function is
[tex]y=\mleft|x\mright|[/tex]so
the transformations of the parent function to the given equation are
1) Reflection over x-axis
the rule is
(x,y) -------> (x,-y)
so
[tex]\mleft|x\mright|---\longrightarrow\text{ -}\mleft|x\mright|[/tex]2) vertical compress by factor of 3
[tex]-|x|---\longrightarrow\text{ -}\frac{1}{3}|x|[/tex]3) shift down 5
[tex]\text{-}\frac{1}{3}|x|---\longrightarrow\text{ -}\frac{1}{3}|x|-5[/tex]therefore
the answer is