Absolute Value Function Test

| x + 1 | ≥ 3

• No Solution

• All Real Numbers

• x ≤ -4  or  x ≥ 2

• -4 ≤ x ≤ 2

Describe the transformation from the Absolute Value Parent Function.

• Shift up 4 units

• Shift down 4 units

• Shift left 4 units

• Shift right 4 units

Determine the transformation

• Stretch by factor of 2, left 3

• Shrink (compress) by factor of 2, left 3

• Stretch by factor of 2, right 3

• Shrink (compress) by factor of 2, right 3

What is the vertex of the absolute value function y = |x + 3| - 2?

• (-2, -3)

• (-3, -2)

• (0, 0)

• (3, 2)

Find the vertex of the absolute value function y = |x - 2| + 5.

• (2, 5)

• (2, 7)

• (3, 7)

• (0, 5)

Determine the vertex of the absolute value function y = -2|x + 4| - 3.

• (-2, 3)

• (-2, -3)

• (4, -3)

• (-4, -3)

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit

• Flips to A shape, compresses wider, shifts up 1 unit

• Flips to A shape, stretches more narrow, shifts right 1 unit

• Flips to A shape, stretches more narrow, shifts up 1 unit

Choose the correct equation for the graph below.

Which transformation results in shifting the graph of y = |x| to the right by 4 units?

• y = |x - 4|

• y = |x + 4|

• y = |x - 4| + 4

• y = |x| - 4