Question

Which of the following functions is graphed below?

Answer 1

C.  y = | x - 5 | - 4 

Answer 2

Answer:

The function whose graph is given to us:

                   Option: C

                C.    $y=|x-5|-4$  

Step-by-step explanation:

We know that for a general modulus function of the type:

          $y=|x-h|+k$

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:

         $y=|x-5|+(-4)$

i.e.         $y=|x-5|-4$