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Which statement best describes a method that can be used to sketch the graph.

y = |x + 1|
a.
Translate the graph of y = |x| one unit up.
b.
Translate the graph of y = |x| one unit down.
c.
Translate the graph of y = |x| one unit left.
d.
Translate the graph of y = |x| one unit right.

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Answer:

C

Step-by-step explanation:

Function transformations are easy to do when you remember four rules:

  • adding or subtracting in the function moves it left and right
  • adding or subtracting outside the function moves it up or down
  • multiplying and dividing to the function stretches or compresses it

Here y= |x+1| so this would be a translation of one unit to the left. Within the function addition moves it to the left and subtraction moves it to the left.

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