Name: Date: Period: Topic: Graphing Absolute Value Equations

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Name Date Period
Topic Graphing Absolute Value Equations

• Warm-Up
• Solve the following system of inequalities by
  graphing
• y lt 2x 4
• - 3x 2y 6
• Which inequality represents the graph below?
• y lt x 1
• y x 1
• y x 1
• y gt x 1

2
Home-Learning Assignment 5 Review
3
Quiz 8
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Graphing Absolute Value Equations

• How do I make one of those V graphs?

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Absolute value transformationVocabulary

• Translation shifts the parent function graph
  horizontally and vertically.
• Reflection it creates a mirror image of the
  parent-function graph across the line of
  reflection.

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Parent Function y x
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Vertical Movements?

• Absolute value rules
• If you have minus outside the absolute value, you
  move down on the coordinate plane.
• y x- 2
• If you have addition outside the absolute value,
  you move up on the coordinate plane.
• y x 2

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Lets practice!

• y x - 4
• y x 3

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Your turn!

• y x 7
• y x - 2

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Horizontal Movements?

• Absolute value special rules
• If you have minus inside the absolute value, you
  move to the right on the coordinate plane.
• y x - 2
• If you have addition inside the absolute value,
  you move to the left on the coordinate plane.
• y x 2

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Lets Practice!

• y x - 5
• y x 6

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Your Turn!

• y x 4
• y x - 1

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What about y x - 4 5
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What about y -x - 2
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y -x
Reflection of the Parent-function
Same rule, but now it makes it look down
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Practice Time!!!Algebra Aerobics!
6) y x - 1 2 7) y -x - 6 8) y -x -
4 9) x y - 3 10) y -x 1 - 1
1) y x - 1 2) y x 3 3) y x 5 4)
y x - 4 5) y x 3 3
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Mix Algebra Aerobics

• y x - 4

y -x 2 - 2
y -3x -1
y x 5
y -x - 7 8
x 4
y 6
4x 3y 24
y x 3
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Review
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Review
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Review
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Verbal Comprehension Analysis

• Graph the functions y x and y x - 3
  together on the same coordinate plane.
• What effect does the 3 have on the graph?
• Graph the functions y x and y x - 3 on
  the same coordinate plane.
• What effect does the 3 have on the graph?
• Graph the functions y x and y - x
  together on a coordinate plane.
• What effect does the negative sign have on the
  graph?

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Wrap-up

• Review key points
• Review vocabulary words
• ---- Reminder ----
• Study for Exam 8
• (Linear Inequalities, Systems of Inequalities,
  Graphing Absolute Value Equations)