SOLUTION: Write the expression for when you translate the graph of y = |0.5x -2|+3 a) one unit up b) one unit down c) one unit to the left d) one unit to the right

Algebra ->  Graphs -> SOLUTION: Write the expression for when you translate the graph of y = |0.5x -2|+3 a) one unit up b) one unit down c) one unit to the left d) one unit to the right      Log On


   

Question 1023687: Write the expression for when you translate the graph of
y = |0.5x -2|+3
a) one unit up
b) one unit down
c) one unit to the left
d) one unit to the right
Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
Write the expression for when you translate the graph of
y = |0.5x -2|+3
a) one unit up
Add +1 to the right side:

y = |0.5x -2|+3+1

y = |0.5x -2|+4

b) one unit down
Add -1 to the right side:

y = |0.5x -2|+3-1

y = |0.5x -2|+2

c) one unit to the left
Replace x by (x+1) 

y = |0.5(x+1) -2|+2

y = |0.5x+0.5-2|+2

y = |0.5x-1.5|+2

d) one unit to the right
Replace x by (x-1) 

y = |0.5(x-1) -2|+2

y = |0.5x-0.5-2|+2

y = |0.5x-2.5|+2

Edwin