Transformation Square Root Function

Match the following equations with their corresponding transformations: 1. y = -a√x 2. y = -2√x 3. y = √-bx 4. y = √-2x

• Reflection over the x-axis

• Reflection over the y-axis

• Reflection over the y-axis

• Causes the top of the graph to move to the bottom, and the bottom of the graph to move to the top.

• Causes the top of the graph to move to the bottom, and the bottom of the graph to move to the top.

• Reflection over the x-axis

• Causes the right side of the graph to move to the left, and the left side of the graph to move to the right.

• Causes the right side of the graph to move to the left, and the left side of the graph to move to the right.

Tags

CCSS.HSF.BF.B.3

Fill in the blank: In the equation y = √5x, b is a positive number between 0 and 1, that causes the slope to shift or move closer to the (a)   .

• x-axis

• y-axis

What is the domain of the function in this graph?

• (-infinity, 3]

• [3, inifinity)

• (-infinity, 0]

• [0, infinity)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2

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

Which of these equations shifts a radical equation left 3 times?

• y = √(x) + 3

• y = √(x) - 3

• y = √(x + 3)

• y = √(x - 3)

Tags

CCSS.HSF.BF.B.3

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

What function best describes this graph?

• f(x)= -√(x+4) -2

• f(x)= √(x-4) -2

• f(x)= -√(x-4) -2

• f(x)= √(x+4) +2

Tags

CCSS.HSF-IF.C.7B

y = 2 √(x) - 4

y = - √(x - 4)

y = 2 √(x)

y = 2 √(x) + 4

• y = 2 √(x) - 4

• y = - √(x - 4)

• y = 2 √(x)

• y = 2 √(x) + 4

Tags

CCSS.HSF-IF.C.7B

Describe the Transformation on the Square Root Parent Function?

• Shift Left

• Shift Right

• Shift Down

• Shift Up

Tags

CCSS.HSF.BF.B.3