Absolute Value Graph Shifting

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

• y = |x-4|

• y = |x+4|

• y = |x| + 4

• y = |x-4| + 4

Graph the absolute value function y = |x+2|.

• V-shaped graph shifted 2 units to the left

• V-shaped graph shifted 2 units to the right

• U-shaped graph shifted 2 units to the left

• U-shaped graph shifted 2 units to the right

Apply a vertical translation of +5 to the absolute value function y = |x|.

• y = |x| + 5

• y = |x - 5|

• y = |x| - 5

• y = |x + 5|

Apply a horizontal translation of +2 to the absolute value function y = |x|.

• y = |x-2|

• y = |x+2|

• y = |x| + 2

• y = |x-2| + 2

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

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 -3 to the absolute value function y = |x|.

• y = |x+3|

• y = |x-3|

• y = |x| - 3

• y = |x| + 3

Identify the parent function of absolute value.

• y = x^2

• y = |x|

• y = x^4

• 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