Question

Select the correct answer! Which point is the vertex of the graph defined by f(x) = 6|x − 2| − 5?

A. (6, 5)
B. (2, -5)
C. (0, 0)
D. (6, -2)

Answer 1

The Answer to your question is:

B: (2,-5)

Answer 2

the vertex is (2,-5)

Explanation:

f(x) = 6|x − 2| − 5

WE need to find out the vertex of the given absolute function

The vertex form of absolute function is

f(x) = a|x − h| +k

where (h,k) is the vertex

Now we compare the given f(x) with the vertex form

h= 2 and k = -5

so the vertex is (2,-5)