Answer:
a) y = |½x − 2| + 4; b) y = |½x − 2| + 2;
c) y = (|½(x + 1) − 2| + 3; d) y = ( |½(x - 1) −2| + 3
Step-by-step explanation:
a) One unit up
To translate a function one unit up, you add one unit to y.
y = |½x − 2| + 3 + 1 = |½x − 2| + 4
b) One unit down
To translate a function one unit down, you subtract one unit from y.
y = |½x − 2| + 3 - 1 = |½x − 2| + 2
c) One unit to the left
To translate a function one unit to the left, you add one unit to x.
y = |½(x + 1) −2| + 3 = (|½(x + 1) − 2| + 3
d) One unit to the right
To translate a function one unit to the right, you subtract one unit from x.
y = |½(x + 1) −2| + 3 = (|½(x - 1) −2| + 3
The first diagram below shows the function shifted one unit up and down, and the second shows your function shifted one unit left and right.
