Transformation from Parent Functions Graphing

What are the transformations of this functions compared to the parent function?

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Tags

CCSS.HSF.BF.B.3

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 

• Shifted right 2 units and down 5 units 

• Vertical stretch by a factor of 2; translated left 5 units

• Vertical stretch by a factor of 2; translated right one unit 

Tags

CCSS.HSF.BF.B.3

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

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

The graph of the function f was transformed to create the function g as shown below. Based on the graph, which equation can be used to describe g(x) in terms of f(x)?

• - f(x - 3) + 4

• - f(x - 3) - 4

• - f(x - 4) - 3

• - f(x - 4) + 3

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch, and shifted right 5

• Reflected over the x-axis, vertical stretch, and shifted left 5

• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

The graph of parent function f(x) = x has been transformed to h(x) = f(x - 2) + 3.  Which graph represents this transformation?

• A

• B

• C

• D

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7

How is the blue graph different from the red parent graph? Mark all that are true.

• shifted 1 unit up from the red parent graph

• shifted 2 units right from the red parent graph

• flipped over the x-axis from the red parent graph

• flipped over the y-axis from the red parent graph

• shifted 1 unit down from the red parent graph

How is the blue graph different from the red parent graph?

• shifted 1 unit up from the red parent graph

• shifted 2 units right from the red parent graph

• flipped over the x-axis from the red parent graph

• flipped over the y-axis from the red parent graph

• shifted 1 unit down from the red parent graph