Parent Graphs and Transformations

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

• y=|x+2|

• y=|x|+2

• y=|x-2|

• y=|x|-2

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

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the x-axis

• Shifted right 2, shifted up 3, and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

Name the parent function.

• linear

• square root

• absolute value

• quadratic

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

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

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

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

Describe the parent graph transformation

• stretch by 1/2, left 1, down 3

• stretch by 1/2, right 1, down 3

• compression by 1/2, left 1, down 3

• compression by 1/2, right 1, down 3

Tags

CCSS.HSF.BF.B.3

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