Question

Which of the following functions is graphed below

Answer 1

c

Explanation:

y=|x+4|-2

Answer 2

Option: C is the correct answer.

C. y=|x+4|-2

Explanation:

We know that the vertex of a absolute value function or a modulus function f(x) of the type:

f(x)=a|x-h|+k

is denoted by V such that:

V=(h,k)

By looking at the graph of the function we see that the vertex of the function is:

(-4,-2)

A)

y=|x+4|+2

The vertex of this function is:

(-4,2)

Hence, option: A is incorrect.

B)

y=|x-4|+2

The vertex of this function is: (4,-2).

Hence, option: B is incorrect.

D)

y=|x-4|-2

The vertex of this modulus function is: (4,-2)

Hence, option: D is incorrect.

C)

y=|x+4|-2

The vertex of this function is: (-4,-2)

Also, we see that the graph of this function matches the given graph.

Hence, option: C is correct.