Absolute Value Parent Function Translations

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

• y = -|x - 2| + 7

Which function is graphed?

• f(x) = -3|x - 1| + 4

• f(x) = -|x - 1| + 4

• f(x) = -5|x + 1| + 4

• f(x) = -3|x - 4| + 1

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I 

Describe how the following function compares

to the parent function f(x) = |x|

f(x) = -|x − 4|

• shifted right 4 units

• reflected over x-axis

• shifted left 4 units

• shifted up 4 units

• shifted down 4 units

Which graph shows y=|x−2|+3

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7D

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over the x axis, shrunk by 2, left 3, up 3

Write the new function for the transformation: Vertically stretched by a factor of 2, then translated 9 units down.

• 2

• + 0

• − 9

• -2

• + 9

• ½

• -½

What is the equation of the function?

• y = Ix + 2I - 1

• y = -Ix + 2I - 1

• y = -Ix - 2I - 1

• y = -Ix + 1I - 2

Tags

CCSS.HSF-IF.C.7D

Write the function that corresponds with the graph.

Tags

CCSS.HSF-IF.C.7D

Write the new function for the transformation: Vertically stretched by a factor of 5, then translated 1 unit left.

f(x) = ​ (a)   | x​ (b)   |

• 5

• + 1

• -5

• − 1