Answer:
A
Step-by-step explanation:
given y = f(x) then y = f(x + c) represents a horizontal translation
• If c > 0 then shift to the left of c units
• If c < 0 then shift to the right of c units
given y = f(x) then f(x) + c represents a vertical translation
• If c > 0 then shift up by c units
• If c < 0 then shift down by c units
here f(x) = | x | thus a shift of 4 units right is f(x) = | x - 4 |
and a shift of 6 units up gives
f(x) = | x - 4 | + 6 → A
c = 6
1/2 (2(4) + 4) = 3(4) - c
1/2 (8 + 4) = 12 - c
1/2 (12) = 12 - c
6 = 12 - c
-6 = -c
this is my answer...sorry if I made any mistake
