Graphing Radical Functions

Given the function, which of the following correctly describes the transformations?

• reflection over the x-axis, vertical stretch by 3, horizontal shift left 1 and vertical shift down 5

• reflection over the y-axis, vertical stretch by 1/3, horizontal shift left 1 and vertical shift down 5

• reflection over the x-axis, vertical compression by 1/3, horizontal shift left 1 and vertical shift down 5

• reflection over the x-axis, vertical stretch by 1/3, horizontal shift right 1 and vertical shift down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

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]

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

What kind of function is represented by the graph?

• Cube Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformations of the graph shown. 

• Shifted down 4 units, vertically compressed 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.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

Which function below has the smallest x-intercept?

• 
• 
• 
• 

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

What transformations of the parent function, f(x) = √(x), is the function g(x) = 2√(x + 5)?

• Vertical stretch and a horizontal shift left 5

• Vertical stretch and a horizontal shift right 5

• Vertical compression and a horizontal shift left 5

• Vertical stretch and a vertical shift up 5

Tags

CCSS.HSF.BF.B.3

Compare the two functions below. Which function has a domain x ≥ 1?

• f(x)

• g(x)

• Neither function

• Cannot be determined from the graph alone.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Which of the following maps g(x) back onto the parent function, f(x)?

• Reflection over x-axis, left 2.5, up 3

• Reflection over x-axis, right 2.5, down 3

• Reflection over y-axis, left 2.5, down 3

• Reflection over y-axis, right 2.5, up 3

Which of the following is NOT a part of the transformations for the function?

• Vertical Stretch by a factor of 2

• Horizontal Shift Right 1/2 units

• Horizontal Stretch by a factor of 6

• Vertical Shift Up 3 units

Find the y-intercept for the function.

• (0, 5)

• (4, 0)

• (32, 0)

• (0, 4)