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

Shifted right 2, shifted up 3, and reflected over the x-axis

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

How are the graphs of a function and its inverse related?

The graphs are symmetric about the line y = x.

The graphs are symmetric about the y-axis.

The graphs are symmetric about the x-axis.

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

Shifted right 2, shifted up 3, and reflected over the x-axis

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

Give the domain and range of the graph shown

Domain: x ≥ 4, Range: y ≥ -2

Domain: x ≥ -2, Range: y ≥ 4

Domain: x ≤ -2, Range: y ≤ 4

Domain: x ≤ 4, Range: y ≤ -2

What transformations are taking place in the function f(x) = -√(x + 9)

Flip vertically, shift left 9 units

Flip vertically, shift right 9 units

Flip horizontally, shift left 9 units

Flip horizontally, shift right 9 units

How do you find an inverse?

Flip the signs on all the x-values

Flip the signs on all the y-values

If f(x) = x 3 is changed to f(x) = - (x + 3) 3 + 2, how is the graph transformed?

3 units left, 2 units up, reflected across the x-axis

3 units right, 2 units up, reflected across the y-axis

3 units right, 2 units up, reflected across the x-axis

3 units left, 2 units up, reflected across the y-axis

Find the inverse of the function including any restriction on domain

f -1 = (x + 3) 2 − 4, x ≥ −3

f -1 = (x − 4) 2 + 3, x ≥ 4

Find the inverse of the function including any restriction on domain

f -1 = ((x − 1) / 2) 3 − 4, x ≥ −1

Graphs of Radical Equations Review

9th - 12th Grade

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41 Qs

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Practice Problem

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Hard

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CCSS

HSF.BF.B.3, HSF-IF.C.7B, HSF-BF.B.4A

Standards-aligned

Barbara White

FREE Resource

41 questions

Show all answers

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Identify the Transformations.

Vertical stretch by 2 and down 4

Horizontal compression by ½ and down 4

Vertical stretch by 2 and up 4

Horizontal compression by ½ and right 4

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the facts is not true about the graph shown?

The range is y ∈ ℝ

The function has been shifted 6 units right.

The function has been shifted up 1 unit

The function has been vertically stretched by a factor of 2.

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The range is y ≥ 1

It has been reflected over the x-axis

The function has been shifted up 1 unit

The function has been shifted up 2 units

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Name the parent function.

cube root

quadratic

cubic

square root

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Shifted down 2

Shifted up 2

Shifted left 2

Shifted right 2

Tags

CCSS.HSF.BF.B.3

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Graphs of Radical Equations Review

41 questions

Identify the Transformations.

What kind of function is represented by the graph?

Which of the facts is not true about the graph shown?

Name the parent function.

Describe the transformations of the graph shown.

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

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

How are the graphs of a function and its inverse related?

Which is an equation that shifts the graph of the function above to the left 5 units?

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