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

What are the following transformations? - f(x+2)

reflection over the x axis and 2 units left

reflection over the y axis and 2 units to the right

reflection over the x axis and 2 units right

reflection over the y axis and 2 units left

What are the following transformations: f(-x) - 4

reflection over the y axis and 4 units down

reflection over the x axis and 4 units right

reflection over the x axis and 4 units down

reflection over the y axis and 4 units right

Which transformation will occur when g ( x ) = 2 f ( x ) g\left(x\right)=2f\left(x\right) g ( x ) = 2 f ( x ) ?

Horizontal stretch by a factor of 2

Horizontal compression by a factor of 1/2

If the graph of f ( x ) = x f\left(x\right)=x f ( x ) = x is translated 7 units up and is horizontally compressed by a factor of 1 3 \frac{1}{3} 3 1 , what is the function g ( x ) g\left(x\right) g ( x ) ?

g ( x ) = 3 x + 7 g\left(x\right)=3x+7 g ( x ) = 3 x + 7

g ( x ) = 1 3 x + 7 g\left(x\right)=\frac{1}{3}x+7 g ( x ) = 3 1 x + 7

g ( x ) = 3 x + 21 g\left(x\right)=3x+21 g ( x ) = 3 x + 2 1

g ( x ) = 1 3 x + 7 3 g\left(x\right)=\frac{1}{3}x+\frac{7}{3} g ( x ) = 3 1 x + 3 7

Perform the following sequence of transformations on f ( x ) = 2 x + 9 f\left(x\right)=2x+9 f ( x ) = 2 x + 9 to get g ( x ) g\left(x\right) g ( x ) . translate left 3, reflect in the x-axis, horizontally stretch by a factor of 4, translate up 5, vertically compress by 1/2

g ( x ) = − 1 4 x − 5 g\left(x\right)=-\frac{1}{4}x-5 g ( x ) = − 4 1 x − 5

g ( x ) = − 1 4 x + 1 g\left(x\right)=-\frac{1}{4}x+1 g ( x ) = − 4 1 x + 1

g ( x ) = − 1 4 x + 10 g\left(x\right)=-\frac{1}{4}x+10 g ( x ) = − 4 1 x + 1 0

g ( x ) = − 4 x − 5 g\left(x\right)=-4x-5 g ( x ) = − 4 x − 5

Tell how the function transformed from y =|x| y = -2|x|

Stretched vertically and reflected over x-axis

Compressed vertically and reflected over the x-axis

Describe the transformation from the parent graph

Reflect over x, right 3, down 4

Reflect over y, right 3, down 4

Describe the parent graph transformation

compression by 1/2, left 1, down 3

stretch by 1/2, right 1, down 3

compression by 1/2, right 1, down 3

What does the transformation f ( x ) → f ( x + 1 ) − 9 f\left(x\right)\ \rightarrow\ f\left(x+1\right)-9 f ( x ) → f ( x + 1 ) − 9 do to the graph of f ( x ) f\left(x\right) f ( x ) ?

translates it left one unit and down 9 units

translates it right one unit and down 9 units

translates it up one unit and right 9 units

translates it down one unit and left 9 units

What does the transformation f ( x ) → 1 3 f ( x ) + 4 f\left(x\right)\ \rightarrow\ \frac{1}{3}f\left(x\right)+4 f ( x ) → 3 1 f ( x ) + 4 do to the graph of f ( x ) f\left(x\right) f ( x ) ?

Shrinks the graph vertically by a factor of 1/3 and translates up 4 units.

Stretches the graph by a factor of 3 and translates up 4 units.

Translates the graph left 1/3 of a unit and up 4 units.

Translates the graph right 3 unites and down 4 units.

Functions & Transformations

Authored by Amorce Jean Bap

Mathematics

9th - 12th Grade

CCSS covered

Used 4+ times

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

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 left

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

Vertical Compression by a factor of 2

Vertical Stretch by a factor of 2

Vertical translation up by 2 units.

Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation will occur if f(x) = x² 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.

Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

Translation left 2 units

Narrower

Vertical translation up by 2 units.

Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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.

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

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tags

CCSS.HSF.BF.B.3

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Functions & Transformations

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

Which transformation will occur if f(x) = x² is replaced with 1/2⋅f(x)?

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

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

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

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

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

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

Which equation describes the transformation of shifting f(x)=x³ seven units up?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Functions & Transformations

Which transformation maps the graph of f(x) = x2 to the graph of g(x) = (x + 4)2?

Which transformation will occur if f(x) = x2 is replaced with 2⋅f(x)?

Which transformation will occur if f(x) = x2 is replaced with 1/2⋅f(x)?

Which transformation will occur if f(x) = x2 is replaced with f(x) + 2?

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

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

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

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

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

Which equation describes the transformation of shifting f(x)=x3 seven units up?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

Which transformation will occur if f(x) = x² is replaced with 1/2⋅f(x)?

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

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

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

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

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

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

Which equation describes the transformation of shifting f(x)=x³ seven units up?