Answer:
a) y = |1/2x -2| +4
b) y = |1/2x -2| +2
c) y = |1/2x -3/2| +3
d) y = |1/2x -5/2| +3
Explanation:
You want the equations for the translation of y = |1/2x -2| +3 ...
- a) one unit up
- b) one unit down
- c) one unit to the left
- d) one unit to the right
Translation
The transformation of a function required to translate it (right, up) by (h, k) units is ...
f(x) = f(x -h) +k
a) Up
For (h, k) = (0, 1), the new function is ...
y = |1/2x -2| +3 +1
y = |1/2x -2| +4
b) Down
For (h, k) = (0, -1), the new function is ...
y = |1/2x -2| +3 -1
y = |1/2x -2| +2
c) Left
For (h, k) = (-1, 0), the new function is ...
y = |1/2(x -(-1)) -2| +3
y = |1/2(x+1) -2| +3
y = |1/2x -3/2| +3
d) Right
For (h, k) = (1, 0), the new function is ...
y = |1/2(x -1) -2| +3
y = |1/2x -5/2| +3
<95141404393>