Absolute Value and Transformations

Identify the transformation represented by the equation y = |x + 3| - 2.

• Stretching vertically by a factor of 3

• Translation 2 units to the right and 3 units up

• Reflection over the x-axis

• Translation 3 units to the left and 2 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the effect of the transformation in the equation y = |x + 4| - 3 compared to the parent function y = |x|.

• Right 4 units, up 3 units

• Left 4 units, down 3 units

• Left 3 units, down 4 units

• Right 4 units, down 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Identify the transformation represented by the equation y = 2|x| - 1.

• Horizontal compression by a factor of 2

• Reflection over the x-axis

• Vertical shift upward by 1 unit

• Vertical stretch by a factor of 2 and vertical shift downward by 1 unit

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Graph the equation y = |x| - 3.

• Graph the parent function y = |x| and then shift the entire graph down 3 units.

• Graph the parent function y = |x| and then shift the entire graph to the left 3 units.

• Graph the parent function y = |x| and then shift the entire graph to the right 3 units.

• Graph the parent function y = |x| and then shift the entire graph up 3 units.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the effect of the transformation in the equation y = |x| + 2 compared to the parent function y = |x|.

• Downward shift by 2 units

• Upward shift by 2 units

• Horizontal shift by 2 units

• No shift at all

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Identify the transformation represented by the equation y = |x| + 5.

• Vertical shift of 5 units downward

• No transformation, the graph remains unchanged

• Horizontal shift of 5 units to the left

• Vertical shift of 5 units upward

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Describe the effect of the transformation in the equation y = |x - 3| compared to the parent function y = |x|.

• The graph is shifted 3 units to the left.

• The graph is reflected over the x-axis.

• The graph is shifted 3 units to the right.

• The graph is stretched vertically by a factor of 3.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

Identify the transformation represented by the equation y = |x - 5| + 2.

• Translation 5 units to the left and 2 units down

• Reflection over the x-axis

• Rotation 90 degrees clockwise

• Translation 5 units to the right and 2 units up

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the solution set for the equation |3x + 1| = 4?

• x = 1 or x = -5/3

• x = -1 or x = 1/3

• x = 1 or x = -1/3

• x = -1 or x = 5/3

Find the value of x in the equation |2x - 3| = 7.

• x = 5 or x = -2

• x = 2 or x = -5

• x = 5 or x = 2

• x = -2 or x = -5