Absolute Value of Functions

What is the equation for the translation of f(x)=|x| that moves down 15 units?

• f(x) = |x - 15|

• f(x) = |x + 15|

• f(x) = |x| - 15

• f(x) = |x| + 15

What is the equation for the translation of f(x)=|x| that moves right 1 unit?

• f(x) = |x - 1|

• f(x) = |x + 1|

• f(x) = |x| - 1

• f(x) = |x| + 1

What is the equation for the translation of f(x)=|x| that moves up 11 unit?

• f(x) = |x - 11|

• f(x) = |x | + 11

• f(x) = |x| - 11

• f(x) = |x + 11|

Using the graph, select the option with the correct vertex.

• (-2, 0)

• (2, 0)

• (0, -2)

• (0, 2)

Tags

CCSS.HSF-IF.C.7D

Using the graph, select the correct equation.

• f(x) = -|x + 6|

• f(x) = -|x - 6|

• f(x) = -|x| + 6

• f(x) = -|x| - 6

Tags

CCSS.HSF-IF.C.7D

Using the equation, select the correct graph.

y = 4|x + 2| - 5

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D

• A

• B

• C

• D

What absolute value function would go through these points?

Tags

CCSS.HSF-IF.C.7D

SELECT ALL the choices that decribe how the function was transformed from blue to red.

• Made a smaller.

• Made a larger.

• Shifted left 2.

• Shifted up 1.

• Shifted down 1.

Using the picture, select the choice that describes the transformation from blue to black.

• y = -f(x + 2) + 1

• y = -f(x - 2) - 1

• y = -f(x - 2) + 1

• y = -f(x + 2) - 1