Absolute Value Graphing Transformations

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

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

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

The blue is f(x)=|x|, 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

Which graph matches the function:
y = -2|x - 3| + 5

• A

• B

• C

• D

Determine the transformation

• Left 5, up 1

• Left 5, down 1

• Right 5, up 1

• Right 5, down 1

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 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

The graph of g was obtained from the graph of f using a composite transformation as shown on the grid below. Choose the correct verbal description in terms of f(x).

• reflection about the y-axis; horizontal translation right 1; vertical translation up 4

• reflection about the y-axis; horizontal translation right 4; vertical translation up 1

• reflection about the x-axis; horizontal translation right 1; vertical translation up 4

• reflection about the x-axis; horizontal translation right 4; vertical translation up 1

Tags

2a.6c