Characteristics of Absolute Function

Which function is graphed?

• f(x) = 2|x + 2| -4

• f(x) = 2|x - 4| + 2

• f(x) = |x + 2| - 4

• f(x) = -2|x - 4|

Which function is graphed?

• f(x) = -|2x - 3| + 5

• f(x) = -|x + 5| - 3

• f(x) = -|2x + 6| + 5

• f(x) = -2|x + 5| - 3

Which function is graphed?

• f(x) = 2|x + 2| - 3

• f(x) = |¹/₂x + 2| - 3

• f(x) = |¹/₂x + 3| - 2

• f(x) = 4|¹/₂x + 3| - 2

Write an absolute value function given the following transformations:

Reflection across the x-axis

Horizontal shift right 2 units

Vertical shift down 7 units

• y = -|x + 2| - 7

• y = |x - 2| - 7

• y = -|x - 2| - 7

• y = -|x - 2| + 7

Determine the vertex for each absolute value function

• (-3, -1)

• (-3, 1)

• (3, -1)

• (3, 1)

Determine the vertex of the function

• (-2, 5)

• (-2, -5)

• (2, 5)

• (2, -5)

Determine the Range of the function

• y > 1

• y < 1

• y > 2

• y < -2

Determine the transformation

• down 2

• flip, down 2

• flip, left 2

• left 2

Determine the transformation

• Stretch by factor of 2, left 3

• Shrink by factor of 2, left 3

• Stretch by factor of 2, right 3

• Shrink by factor of 2, right 3

Determine the Range of the function

• All Reals

• y > 2

• x > 3

• y < 2