Absolute Value Review Transformations

Describe the transformation of the equation below from the parent function of y = I x I

y = -2 I x - 3 I + 3

• reflect over x axis, vertical stretch by 2, translate right 3 and up 3

• reflect over x axis, vertical stretch by 2, translate left 3 and up 3

• reflect over x axis, vertical shrink by 2, translate right 3 and up 3

• reflect over the x axis, vertical shrink by 2, translate left 3 and up 3

Choose the equation that best matches the graphed function.

Tags

CCSS.HSF-IF.C.7D

Choose the equation that best matches the graphed function.

Tags

CCSS.HSF-IF.C.7D

• All real numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain and range?

• Domain: all real numbers Range: y ≥ 1

• Domain: all real numbers Range: y ≥ 2

• Domain: all real numbers Range: y ≤ 1

• Domain: all real numbers Range: all real numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Sketch the graph of the function. Label the vertex of the​ V-shape.

​f(x)=6|x|

• 
• 
• 
• 

Write an absolute value function given the following transformations:

Reflection across the x-axis

Vertical shift 2 units right

Horizontal shift 7 units down

• y = -|x + 2| - 7

• y = |x - 2| - 7

• y = -|x - 2| - 7

• y = -|x - 2| + 7

Write an absolute value function given the following transformations:

• f(x) = |2x + 1| - 9

• f(x) = |2x - 1| - 9

• f(x) = 2|x + 1| - 9

• f(x) = 2|x - 1| - 9

Which statement best describes l -4 l?

• the distance from -4 to 4 on a number line

• the distance from 4 to 0 on a number line

• the distance from -4 to 0 on a number line

• the distance from 0 to 4 on a number line

Tags

CCSS.6.NS.C.7C

What is the RANGE?

• all real numbers

• [1, ∞)

• (-∞, 1]

• none of these

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5