Question

Which of the following functions is graphed below?

Answer 1

we will proceed to graph each case to determine the solution of the problem

case a) $y=\left|x-5\right|+4$

Using a graph tool

see the attached figure N $1$

The case a) is not the function in the graph

case b) $y=\left|x+5\right|-4$

Using a graph tool

see the attached figure N $2$

The case b) is not the function in the graph

case c) $y=\left|x-5\right|-4$

Using a graph tool

see the attached figure N $3$

The case c) is the function in the graph

case d) $y=\left|x+5\right|+4$

Using a graph tool

see the attached figure N $4$

The case d) is not the function in the graph

therefore

the answer is

the function in the graph is the option C

$y=\left|x-5\right|-4$