Transformation of Rational and Absolute Value Functions

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

Tags

CCSS.HSF-IF.C.7D

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

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units
• Stretches more narrow, shifts down 4 units
• Compresses wider, shifts up 4 units
• Compresses wider, shifts down 4 units

y = |x - 3| makes the graph slide . . .

• left 3
• right 3
• up 3
• down 3

Identify the equation of the graph.

• y = |x - 1| - 1
• y = |x + 1| - 1
• y = |x - 1| +1
• y = |x + 1| + 1

Tags

CCSS.HSF-IF.C.7D

What function best describes this graph?

• f(x)= -|x+4| + 1
• f(x)= |x-1| + 4
• f(x)= |x+1| + 4
• f(x)= -|x+1| + 4

Tags

CCSS.HSF-IF.C.7D

y = |x| - 7 makes the graph slide . . .

• left 7
• right 7
• up 7
• down 7

What is the equation of the graph below? You can click the picture to zoom in!

• f(x) = I x + 2 I 
• f(x) = I x  I + 2
• f(x) = I x  I - 2
• f(x) = I x - 2 I 

Tags

CCSS.HSF-IF.C.7D

Use Narrow, Wide, or Same to compare the width of this graph to its parent function.
y = 4|x + 3| - 2

• Narrow
• Wide
• Same