WILL GIVE BRAINLYIST!!! ♦♦♦♦♦3. Graph the following functions on the same coordinate plane given below and make sure you label each of your graphs with their correct function name:a. Graph the following absolute value function and show your work to determine the vertex: f(x) = |x - 3| + 1 b. The function g(x) translates f(x) 5 units up. Graph the g(x) on the same coordinate plane and write the g(x) function. c. The function h(x) reflects g(x) over the x-axis. Graph the h(x) on the same coordinate plane and write the h(x) function.

Answer:A. (3,1)B. g(x)=|x-3|+6C. h(x)=-|x-3|-6Step-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 isg(x)=f(x)+5g(x)=|x-3|+1+5g(x)=|x-3|+6Blue 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|-6Red graph in attached diagram.