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

B. (8, 6)

Step-by-step explanation:

We have been given formula of an absolute value function . We are asked to find the vertex of the given function.

We know that standard form of an absolute value function is , where, (h,k) represents vertex of function.

Upon looking at our given function, we can see that and , therefore, the vertex of the given graph is at point (8,6) and option B is the correct choice.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

f(x) = y

f(-3) = -5

step-by-step explanation: