Question

WILL GIVE BRAINLYIST!!! ♦♦♦♦♦

Answer 1

Answer:

A. (3,1)

B. g(x)=|x-3|+6

C. h(x)=-|x-3|-6

Step-by-step explanation:

A. To graph the absolute value function f(x) = |x - 3| + 1, first graph the parent absolute value function y=|x| and then translate it 3 units to the right and 1 unit up (see green graph in attached diagram). The vertex of the function f(x) is at point (3,1).

B.  The function g(x) translates f(x) 5 units up, so its equation is

g(x)=f(x)+5

g(x)=|x-3|+1+5

g(x)=|x-3|+6

Blue graph in attached diagram.

C. The function h(x) reflects g(x) over the x-axis, so the equation of the function h(x) is

h(x)=-g(x)

h(x)=-(|x-3|+6)

h(x)=-|x-3|-6

Red graph in attached diagram.