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1 answer:
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.
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Answer:
see attached
Step-by-step explanation:
Top down, left to right, the sums are ...
1/3 +3/6 = 2/6 +3/6 = 5/6 . . . pink
1 1/5 + 1 2/10 = 1 1/5 + 1 1/5 = (1 +1) +(1/5 +1/5) = 2 2/5 . . . green
2 2/6 +1 2/8 = 2 1/3 +1 1/4 = (2 +1) +(4/12 +3/12) = 3 7/12 . . . violet
1/7 +2/3 = 3/21 +14/21 = 17/21 . . . yellow
2 3/4 +2/6 = 2 9/12 +4/12 = 2 13/12 = 3 1/12 . . . brown
