Question

Describe the graph of the function.

y = |x+2|

a. The graph is an absolute value function with vertex (0, –2).


b. The graph is an absolute value function with vertex (2, 2).


c. The graph is an absolute value function with vertex (2, 0).


d. The graph is an absolute value function with vertex (–2, 0).

PLEASEE HELP

Answer 1

D

Explanation:

The vertex of a graph is its turning point.

To find x-coordinate of the vertex, equate whatever that is inside the modulus sign to zero.

x+2=0

x=-2

Hence, x-coordinate would be -2.

By elimination, D would be the answer.

Let's check. The y-coordinate of the vertex is whatever that's outside the modulus sign.

Say for example, my equation is y=|x+3|+ 5

In this case x-coordinate of the vertex is -3

while the y-coordinate of the vertex is 5

hence coordinates of the vertex is (-3,5)

For this question, since there is no number outside the modulus sign, the y-coordinate of the vertex is 0.

Hence coordinates of the vertex is (-2,0).