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Transformations of Linear Functions

Authored by Colleen Joy

Mathematics

8th - 9th Grade

CCSS covered

Used 69+ times

Transformations of Linear Functions
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21 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

The graph of g is a vertical translation 2 units up of the graph of f
The graph of f is a horizontal translation two units left of g
The graph of g is a vertical stretch by a factor of 2 of the graph of f
The graph of g is a reflection of the graph of f

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

Vertical stretch by a factor of 2

Vertical compression by a factor of 1/2

Vertical translation up by 2 units.

Horizontal compression by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

Translation left 2 units
Translation right 2 units
Vertical translation up by 2 units.
Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How did the equation shift from the parent function?

y = f(x) + c

Shifted up "c" units

Shifted down "c" units

Stretches vertically

Shifted right "c" units

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How did the equation shift from the parent function? y = f(x - 4)

Shift right by 4

Shift left by 4

Horizontal Stretch by 4

Vertical Stretch by 4

Shift down by 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the linear parent function?

y = x

y = mx + b

f(x) = 2x

Not here

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

g(x) = f(x)6g\left(x\right)\ =\ f\left(x\right)-6

g(x)=4f(x)g\left(x\right)=4f\left(x\right)

g(x)=f(x)3g\left(x\right)=f\left(x\right)-3

g(x)=14f(x)g\left(x\right)=\frac{1}{4}f\left(x\right)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.CED.A.2

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