Transformations of Absolute Value Function

Describe the transformation from the Absolute Value Parent Function.

• vertical stretch by 1/5, shifts up 4 units

• Vertical stretch by 1/5, shifts down 4 units

• Vertical compression by 1/5, shifts up 4 units

• Vertical compression by 1/5, shifts down 4 units

Describe the transformations of the absolute value equation.

• Reflection over the x-axis, Vertical compression by 3, shifts right 1 unit

• Reflection over the x-axis, Vertical compression by 3, shifts up 1 unit

• Reflection over the x-axis, Vertical stretch by 3, shifts right 1 unit

• Reflection over the x-axis, Vertical stretch by 3, shifts up 1 unit

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

• f(x) = |2x + 1| - 9

• f(x) = |2x - 1| - 9

• f(x) = 2|x + 1| - 9 

• f(x) = 2|x - 1| - 9

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

Which function is graphed?

• f(x) = -|2x - 5| + 5

• f(x) = -|x - 3| - 3

• f(x) = -2|x + 3| + 5

• f(x) = -2|x + 5| - 3

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

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

Determine the transformation 

• left 3, up 2

• right 3, up 2

• left 3, down 2

• right 3, down 2

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