Key Features and Transformations of Parent Functions

Which of these equations shifts a radical equation right 5 times and down once?

• y = √(x - 5) - 1

• y = √(x + 5) - 1

• y = √(x - 5) + 1

• y = √(x + 5) + 1

Tags

CCSS.HSF-IF.C.7B

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

What is the equation of the graph?

• y = √(x - 3)

• y = √(x) + 3

• y = √(x - 5) + 4

• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B

Describe the transformation.

• Right 10

• Up 10

• Down 10

• Left 10

Tags

CCSS.HSF.BF.B.3

Describe the transformation.

• Vertical Stretch by 2

• Vertical Shrink by ⅓

• Horizontal Shrink by ⅓

• Horizontal Stretch by 3

Tags

CCSS.HSF.BF.B.3

Describe the transformation.

• Left 1, Reflect over x-axis, up 2

• Left 1, Reflect over y-axis, down 2

• Right 1, Reflect over x-axis, up 2

• Right 1, Reflect over y-axis, uo 2

Tags

CCSS.HSF.BF.B.3

Which of these equations shifts a radical equation right 1 time and up 2 times?

• y = √(x + 1) - 2 

• y = √(x - 1) + 2

• y = √(x - 2) + 1

• y = √(x + 2) - 1

Tags

CCSS.HSF-IF.C.7B

Find the domain and range of the function
Hint:  Use a scratch graph to help you visualize things. 

• Domain: (-∞, ∞)  Range: [-∞, 4]

• Domain: [1, ∞)  Range: (-∞, 4]

• Domain: [-1. ∞) Range: [4, ∞) 

• Domain: [4, ∞) Range: [-1,∞) 

Name the parent function.

• cube root

• quadratic

• cubic

• square root

For a function y=a(bx+c)+d, which transformation will the parameter a produce?

• horizontal stretch or compression

• translation upward or downward

• vertical stretch or compression

• translation left or right

Tags

CCSS.HSF.BF.B.3