Question

Which graph represents the function g(x) = |x + 4| + 2?

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

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

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

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

Answer 1

A. (-4,2)

Explanation:

Answer 2

The following graph represents the function g(x)=|x+4| +2

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

Explanation:

A vertex can bed defined as a point where two lines meet. In a graph, a vertex can also be interpreted as the point where the direction of the line or curve change

The function is given by:

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

which is an absolute value function. We need to find the vertex of the graph.

The graph drawn is attached below.

We can see in the graph that at x = -4 and y = 2 , a point is formed where the straight line changes its direction.

So the vertex is formed at (-4,2)