Question

Which equation represents the function graphed on the coordinate plane? g(x) = |x + 4| – 2 g(x) = |x – 4| – 2 g(x) = |x – 2| – 4 g(x) = |x – 2| + 4. Which equation represents the function graphed on the coordinate plane?

g(x) = |x + 4| – 2
g(x) = |x – 4| – 2
g(x) = |x – 2| – 4
g(x) = |x – 2| + 4

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 2).

Answer 1

`g(x)=|x+4|-2`

Explanation:

All the absolute value functions given in the option are of the form:

`g(x)=|x-h|+k`, where (h,k) is the vertex

From your description the absolute value graph has vertex at (-4,-2)

Hence h=-4 and k=-2.

We substitute to get:

`g(x)=|x--4|+-2`

We simplify to get:

`g(x)=|x+4|-2`