Identify the transformation from the graph of f(x)=x 2 to the graph g(x)= -(x+5) 2

shifted left 5 units reflection x-axis

shifted up five units reflection in x-axis

shifted down five units reflection in x-axis

shifted right 5 units reflection x-axis

The original function has equation f(x). State the transformations given the new function f(x) = ⅔(x - 7) 2

Horizontal Shrink of ⅔ Left 7

Right ⅔ Horizontal stretch of 7

Describe the transformations that maps y = g(x) to y = - g(x + 6) - 10

Reflect over x-axis Shifted down 10 units Shifted left 6 units

Reflect over y-axis Shifted down 10 units Shifted left 6 units

Reflect over x-axis Shifted up 10 units Shifted left 6 units

Reflect over y-axis Shifted up 10 units Shifted right 6 units

Which transformation maps the graph of f(x) = x 2 to the graph of g(x) = (x + 4) 2 ?

a translation shifting f(x) 4 units to the left

a translation shifting f(x) 4 units up

a translation shifting f(x) 4 units down

a translation shifting f(x) 4 units to the right

Which transformation will occur if f(x) = x 2 is replaced with 2⋅f(x)?

Vertical Stretch by a factor of 2

Vertical Compression by a factor of 2

Vertical translation up by 2 units.

Which transformation will occur if f(x) = x 2 is replaced with 1/2⋅f(x)?

Vertical Compression by a factor of 1/2

Vertical Stretch by a factor of 1/2

Vertical translation up by 2 units.

Which transformation will occur if f(x) = x 2 is replaced with f(x) + 2?

Vertical translation up by 2 units.

Describe the transformation of y = f(x) for the new function y = f(x) + 5

The graph of y = f(x) was shifted up 5 units.

The graph of y = f(x) was shifted to the right 5 units.

The graph of y = f(x) was shifted to the left 5 units.

The graph of y = f(x) was shifted down 5 units.

Describe the transformation of y = f(x) for the new function y = f(x) - 5

The graph of y = f(x) was shifted down 5 units.

The graph of y = f(x) was shifted to the right 5 units.

The graph of y = f(x) was shifted to the left 5 units.

The graph of y = f(x) was shifted up 5 units.

Describe the transformation of y = f(x) for the new function y = 5f(x)

The graph of y = f(x) was stretched vertically by a factor of 5

The graph of y = f(x) compressed horizontally by a factor of 1/5

The graph of y = f(x) was stretched horizontally by a factor of 5

The graph of y = f(x) was compressed vertically by a factor of 1/5

Describe the transformation of y = f(x) for the new function y = 1/5f(x)

The graph of y = f(x) was compressed vertically by a factor of 1/5

The graph of y = f(x) compressed horizontally by a factor of 1/5

The graph of y = f(x) was stretched horizontally by a factor of 5

The graph of y = f(x) was stretched vertically by a factor of 5

Describe the transformation of y = f(x) for the new function y = - f(x)

The graph of y = f(x) was flipped vertically across the x axis.

The graph of y = f(x) was flipped horizontally across the y axis.

The graph of y = f(x) was shifted down.

The graph of y = f(x) was shifted up

Describe the transformation of y = f(x) for the new function y = f(- x)

The graph of y = f(x) was flipped horizontally across the y axis.

The graph of y = f(x) was flipped vertically across the x axis.

The graph of y = f(x) was shifted down.

The graph of y = f(x) was shifted up

Describe the transformation of y = g(x) for the function y = 3g(x - 3) + 5

Shifted up 5 units Shifted right 3 units Stretched vertically by a factor of 3

Shifted up 5 units Shifted left 3 units Stretched vertically by a factor of 3

Shifted down 5 units Shifted left 3 units Stretched vertically by a factor of 3

Shifted down 5 units Shifted left 3 units Stretched vertically by a factor of 1/3

Transformations of Parent Functions

Authored by David Rochemont

Mathematics

9th - 12th Grade

CCSS covered

Used 24+ times

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75 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?

f(x - 3)

f(x + 3)

f(x) + 3

f(x) - 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?

f(x + 2)

f(x) + 2

f(x - 2)

f(x) - 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The original graph is f(x). The new graph has been reflected across the x axis. The equation for the new graph in f(x) notation is:

-f(x)

f(-x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.4

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The original graph is f(x). The new graph is vertically stretched by a factor of 2. What is the equation for the new graph?

2f(x)

f(2x)

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The original graph is f(x). The new graph has been moved up 3 and to the right 4. The new graph is:

f(x + 3) - 4

f(x - 4) + 3

f(x + 4) + 3

f(x + 3) + 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The original graph is f(x). The new graph is up 5, left 3, and reflected across the x-axis.

f(x + 3) + 5

-f(x - 3) + 5

-f(x + 3) + 5

-f(x + 5) + 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.4

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The original graph is f(x). The new graph has been vertically stretched by a factor of 4 and translated down 4.

f(4x - 4)

4f(x -4)

f(4x) - 4

4f(x) - 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSF.IF.B.4

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Transformations of Parent Functions

If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?

If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?

The original graph is f(x). The new graph has been reflected across the x axis. The equation for the new graph in f(x) notation is:

The original graph is f(x). The new graph is vertically stretched by a factor of 2. What is the equation for the new graph?

The original graph is f(x). The new graph has been moved up 3 and to the right 4. The new graph is:

The original graph is f(x). The new graph is up 5, left 3, and reflected across the x-axis.

The original graph is f(x). The new graph has been vertically stretched by a factor of 4 and translated down 4.

The original graph is f(x). The new graph is translated 5 down, reflected across the x-axis, and translated 3 to the left.

Which vocabulary word refers to changing the position on the x-axis or y-axis? (i.e. moving up, down, left, and right)

Identify the transformation from the graph of f(x)=x²to the graph g(x)= x² - 5

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Transformations of Parent Functions

If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?

If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?

The original graph is f(x). The new graph has been reflected across the x axis. The equation for the new graph in f(x) notation is:

The original graph is f(x). The new graph is vertically stretched by a factor of 2. What is the equation for the new graph?

The original graph is f(x). The new graph has been moved up 3 and to the right 4. The new graph is:

The original graph is f(x). The new graph is up 5, left 3, and reflected across the x-axis.

The original graph is f(x). The new graph has been vertically stretched by a factor of 4 and translated down 4.

The original graph is f(x). The new graph is translated 5 down, reflected across the x-axis, and translated 3 to the left.

Which vocabulary word refers to changing the position on the x-axis or y-axis? (i.e. moving up, down, left, and right)

Identify the transformation from the graph of f(x)=x2 to the graph g(x)= x2 - 5

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Identify the transformation from the graph of f(x)=x²to the graph g(x)= x² - 5