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Linear Transformations

Authored by William J Leonard Jr

Mathematics

7th Grade

CCSS covered

Used 2+ times

Linear Transformations
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12 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

g(x) is shifted up 3 units

g(x) is shifted down 3 units

g(x) is shifted left 3 units

g(x) is shifted right 3 units

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 3. Describe the transformation.

g(x) is shifted up 3 units

g(x) is shifted down 3 units

g(x) is shifted left 3 units

g(x) is shifted right 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

g(x) is shifted up 6 units

g(x) is shifted down 6 units

g(x) is shifted left 6 units

g(x) is shifted right 6 units

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 6). Does this result in a horizontal or vertical translation?

horizontal

vertical

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the line less steep than:

y = 3x + 8

y = 5x + 8

y = 3x + 5

y = -3x + 6

y = 2x + 7

Tags

CCSS.HSF.IF.C.9

CCSS.8.F.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 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 4 units up from the graph f
The graph of g is a horizontal translation of the graph of f, 4 units right
The graph of g is a horizontal translation of the graph of f, 4 units left
The graph of g is a vertical stretch of the graph of f, by a factor of 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Compare the equations f(x) = 12x + 2 and g(x) = 6x – 2. Which best describes the transformation(s) from f(x) to g(x)?

Vertical shift down 2, less steep slope

Vertical shift up 4, double the slope

Vertical shift down 4, half the slope

Steeper by 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.9

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