Unit 3.4 Graphing Absolute Value Functions

y = 1/3 │x - 1│

• Vertex: (1, 0)

  Slope: 1/3

  D: IR

  R: y > 0

• Vertex: (0, 1)

  Slope: 1/3

  D: IR

  R: y > 0

• Vertex: (1, 0)

  Slope: -1/3

  D: IR

  R: y > 0

• Vertex: (1, 0)

  Slope: 1/3

  D: y > 0

  R: IR

y = -2│x│ - 3

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y = -½│x│ + 2

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y = 3│x - 4│ - 6

• Vertex: -4, -6

  slope: 3

• Vertex: -4, -6

  slope: -3

• Vertex: 4, -6

  slope: 3

• Vertex: 4, -6

  slope: 1/3

y = -1/3│x - 4│ + 2

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y = 2│x + 1| - 7

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Start with the graph of the absolute value function. Stretch it by a factor of 3 and shift 2 units up.

Start with the graph of the absolute value function. Reflect, shift it 4 units to the right and 5 unit down.

Tags

TEKS.MATH.9-12.III.B.1

Start with the graph of the absolute value function. Stretch it by 4.

Start with the graph of the absolute value function. Reflect it across the x-axis and shift it to the left 3 units