What is the vertex of the graph of g(x) = |x - 8| + 6?

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. 

Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → R and x ∈ R.

The absolute value equation has the form f(x) = a|x - h|+k

Where, (h,k) is the vertex.

Given, g(x) = |x - 8| + 6

Here, h = 8

k = 6

Therefore, the vertex of the graph is (8, 6).

What is the vertex of the graph of g(x) = |x - 8| + 6?

Summary:

The vertex of the graph of g(x) =  |x - 8| + 6 is (8, 6).