Graphing Function Transformations

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

  . 
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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the parent graph transformation

• h. stretch, left 1, down 3
• h. shrink, right 1, down 3
• v. shrink, left 1, down 3
• v. stretch, right 1, down 3

Tags

CCSS.HSF.BF.B.3

Match the equation with the graph:

• y = (x - 1)² - 2
• y = (x + 1)² - 2
• y = (x - 2)² + 1
• y = (x + 2)² - 1

Tags

CCSS.HSF-IF.C.7A

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

Choose the correct translated function.

• f(x)= -(x+1)²+4
• f(x)= (x-1)²-4
• f(x)= -(x+1)²-4
• f(x)= -(x+4)²-1

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Parent function, f(x) = x². Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.

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Tags

CCSS.HSF.BF.B.3