Question

Which of the following functions is graphed below?

Answer 1

C.  y = | x - 5 | - 4 

Answer 2

The function whose graph is given to us:

Option: C

C.
`y=|x-5|-4`

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`