Absolute Value Functions and Transformations

Choose ALL answers that apply: Describe the transformations of the equation below from the absolute value parent function.

• Shifted left 1 and up 5

• Shifted right 1 and up 5

• Vertical Compression

• Vertical Stretch

• Reflected over the X-Axis

Choose the equation that best matches the graphed function.

Tags

CCSS.HSF-IF.C.7D

Identify the type of function.

• Absolute Value

• Quadratic

• Square Root

• Cubic

• Cube Root

Describe the transformations of the equation below from the absolute value parent function.

• Reflected over x-axis

• Shifted left 5 and up 7 

• Shifted right 5 and up 7

• Vertically Compressed

• Vertically Stretched

Evaluate f(3) on the graph

• f(3) = 1

• f(3) = 2

• f(3) = 0

• f(3) = -1

Tags

CCSS.HSF.IF.A.2

Identify the end behaviors of the function graph.

• As x→∞,

  f(x)→∞.

  As x→ -∞,

  f(x)→ -∞.

• As x→∞,

  f(x)→ -∞.

  As x→ -∞,

  f(x)→∞.

• As x→∞,

  DNE.

  As x→ -∞,

  f(x)→ -∞.

• As x→∞,

  f(x)→ -∞.

  As x→-∞,

  DNE.

• As x→∞,

  f(x)→∞.

  As x→ -∞,

  DNE.

Using the pictured graph, what is f(-3)? 

• -3

• -1

• 1

• 3

Tags

CCSS.HSF.IF.A.2

Which graph shows the function y = |x + 1| − 4

• A

• B

• C

• D

Which graph shows the function

y = −|x + 4|

• A

• B

• C

• D

What is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x+1|+3

• y=-2|x-1|+3

Tags

CCSS.HSF-IF.C.7D