Radical Transformations

Which of the following is the function shown in the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x + 3)
• y = √(x) - 3

Tags

CCSS.HSF-IF.C.7B

Find the equation that matches this graph.

Tags

CCSS.HSF-IF.C.7B

Find the equation that matches this graph.

Tags

CCSS.HSF-IF.C.7B

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 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 kind of function is represented by the graph?

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

Let f(x)=√(x) and g(x)= -3√(x-2)+1. Describe g(x) in terms of f(x):

• reflects over x axis, vertical stretch by 3, right 2, up 1

• reflects over y axis, vertical compression by -3, left 2, up 1

• reflects over x axis, vertical stretch by -3, left 2, up 1

• reflects over y axis, vertical compression by 1/3, right 2, up 1

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

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

Which equation moves 4 down and left 3?

Tags

CCSS.HSF-IF.C.7B