SOLUTION: Describe each translation of y = |x| as vertical, horizantal, or diagonal. Then graph each translations. y = |x+3| - 2 y = |x| + 2 y = |x-4| The textbook doesn't explain it a

Algebra ->  College  -> Linear Algebra -> SOLUTION: Describe each translation of y = |x| as vertical, horizantal, or diagonal. Then graph each translations. y = |x+3| - 2 y = |x| + 2 y = |x-4| The textbook doesn't explain it a      Log On


   



Question 777768: Describe each translation of y = |x| as vertical, horizantal, or diagonal. Then graph each translations.
y = |x+3| - 2
y = |x| + 2
y = |x-4|
The textbook doesn't explain it and I can't find anything online about it. Please help.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Using y=|x| as reference. Let a, b, be positive real numbers.

y=|x-a| moves the reference graph a units to the right.

y=|x|-b moves the reference graph downward by b units.

y=|x-a|-b moves the reference graph toward the right by a units AND downward b units.

y=|x+a| would move the reference graph toward the LEFT by a units.