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

Solution:

The modulus function, which is also called the absolute value of a function gives the magnitude or absolute value of a number irrespective of the number being positive or negative.

It always gives a non-negative value of any number or variable. 

The function given is

ƒ(x) = |x + 2| + 4

The vertex is denoted as (h, k)

h: |x + 2| = 0

x + 2 = 0

x = - 2

k can be found by substituting the x value in the given function.

ƒ(-2) = |-2 + 2| + 4

f(-2) = 0 + 4

f(-2) = 4

Therefore, the vertex is (-2, 4).

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

Summary:

The vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4 is (-2, 4).