Transformations of Absolute Value Equations

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• 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

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit

• Reflects over x-axis, compresses wider, shifts up 1 unit

• Reflects over x-axis, stretches more narrow, shifts right 1 unit

• Reflects over x-axis, stretches more narrow, shifts up 1 unit

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

y=|x−3|−1

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7D

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit

• Flips to A shape, compresses wider, shifts up 1 unit

• Flips to A shape, stretches more narrow, shifts right 1 unit

• Flips to A shape, stretches more narrow, shifts up 1 unit

State the RANGE of the absolute value function given the following transformations:

• y = -|x - 2| + 7

• y = |x + 2| + 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

Match the following. Use the general absolute value equation as a guide: y = a∣x - h∣ + k

• ...the graph gets wider

• the "k"

• moves the graph up/down

• "-a"

• flips the graph over

• if "a" is a fraction...

• ...the graph gets thinner

• if "a" is a whole number...

• moves the graph left/right

• the "h"

Write the absolute value equation, given the following transformations:
Compressed by 1/2, Reflection across the x-axis,Vertical shift right 2 units, Horizontal shift down 7 units

f(x) = (a)   ​|x (b)   ​| (c)  

• -1/2

• -2

• -7

• 1/2

• +2

• +7

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