Absolute Value Parent Functions and Translations Quiz

Identify the parent function of absolute value.

• y = x^2

• y = |x|

• y = x^4

• y = x^3

Identify the parent function of absolute value.

• y = |x|

• y = x^2

• y = √x

• y = x^3

Graph the absolute value parent function y = |x|.

• V-shaped graph with the vertex at the origin

• Exponential growth graph

• Horizontal line passing through the origin

• U-shaped graph with the vertex at the origin

Graph the absolute value parent function y = |x|.

• Exponential growth graph

• U-shaped graph with the vertex at the origin

• V-shaped graph with the vertex at the origin

• Horizontal line passing through the origin

Explain the understanding of translations of absolute value functions.

• Translations involve shifting the graph horizontally or vertically.

• Translations involve reflecting the graph

• Translations involve rotating the graph

• Translations involve stretching the graph

Explain the understanding of translations of absolute value functions.

• Reflecting the graph over the x-axis

• Rotating the graph 90 degrees

• Stretching the graph horizontally

• Shifting the graph horizontally or vertically

Apply a vertical translation of +3 to the absolute value function y = |x|.

• y = |x - 3|

• y = |x| + 3

• y = |x| - 3

• y = |x + 3|

Apply a vertical translation of -2 to the absolute value function y = |x|.

• y = |x| * 2

• y = |x| / 2

• y = |x| - 2

• y = |x| + 2

Apply a horizontal translation of +4 to the absolute value function y = |x|.

• y = |x-4|

• y = |x+4|

• y = |x| + 4

• y = |x-4| + 4

Solve the equation |2x - 5| = 7.

• x = 6 or x = -1

• x = 1 or x = -8

• x = 3 or x = -4

• x = 10 or x = -3