Graphing Radical Functions

Describe the transformation.

• Down 1
• Reflect over y-axis
• Up 1
• Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

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

Describe the transformation

• Left 4 units, up 1 unit
• Right 4 units, up 1 unit
• Left 4 units, down 1 unit
• Right 4 units, down 1 unit

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

Match the correct equation with the given graph.

• y = √(x) + 2
• y = √(x) - 2
• y = √(x + 2)
• y = √(x - 2)

Tags

CCSS.HSF-IF.C.7B

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

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

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

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.8.F.A.1

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.HSF-IF.C.7B