Shifting Radical Functions

• horizontal shift left 1 and vertical shift down 5

• horizontal shift right and vertical shift up 5

• horizontal shift left 5 vertical shift down 1

•  horizontal shift right 5 and vertical shift up 1

Which of the following correctly describes the domain and range for the function graphed?

• D: [-5, infinity) R: (-infinity, 4]

• D: [-5, infinity) R: [4, -infinity)

• D: (-infinity, infinity) R: (-infinity, infinity)

• D: [4, infinity) R: (-infinity, -5]

• Shifted down 4 units, vertically stretched by a factor of 3 and shifted 6 units left

• Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left. 

• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right. 

• none of the above.

Which function below has the smallest x-intercept?

• 
• 
• 
• 

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

• Translated down 2

• Translated up 2

• Translated left 2

• Translated right 2

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

• Horizontal translation 2, vertical translation 3, and reflected over the y-axis

• horizontal translation -2, vertical translation 3, and reflected over the y-axis

• Horizontal translation -2, vertical translation 3, and reflected over the x-axis

• Horizontal translation 2, vertical translation 3, and reflected over the x-axis

• y ≥ 0
• x ≥ -2
• x ≤ -2
• y ≥ 2

• A

• B

• C

• D

• A

• B

• C

• D

Which is the graph of the square root parent function?

• A
• B
• C
• D