Question

What is the vertex of the absolute value function defined by f(x)=|x+2|+4?

a) (2,4)
b) (-2,4)
c) (-2,-4)
d) (2,-4)​

Answer 1

There is no maximum value for the term inside the absolute value signs, but there is an absolute minimum, being zero when x=-2. And when x=-2, y=4, and that is your vertex:

(-2, 4)