Answer:
The function whose graph is given to us:
Option: C
C. [tex]y=|x-5|-4[/tex]
Step-by-step explanation:
We know that for a general modulus function of the type:
[tex]y=|x-h|+k[/tex]
The vertex of the function is at (h,k)
Here we have the vertex of the function is at (5,-4)
i..e h=5 and k= -4
Hence, the equation of the modulus function is:
[tex]y=|x-5|+(-4)[/tex]
i.e. [tex]y=|x-5|-4[/tex]
