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Linear transformations

Authored by Sara Whorton

Mathematics

10th Grade

CCSS covered

Used 1+ times

Linear transformations
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which represents the parent function shifted down two units?

f(x) = -2x

f(x) = x - 2

f(x) = x + 2

f(x) = 2x

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Name the transformation(s):

f(x) = -x + 8

g(x) = x + 4

Reflection

Reflection, vertical shift down 4

Vertical shift down 4

Reflection, vertical shift up 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

3.

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

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

The graph of f is shifted 12 units to the right to create the graph of g.

The graph of f is shifted 12 units down to create the graph of g.

The graph of f is shifted 12 units up to create the graph of g.

The graph of f is shifted 12 units to the left to create the graph of g.

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A student graphed f(x) = x and g(x) = 2f(x). Which statement is true?

The graph of g is steeper than the graph of f.

The graph of g is less steep than the graph of f.

The graph of f is shifted 2 units up to create the graph of g.

The graph of f is shifted 2 units to the right to create the graph of g.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If the graph of the parent function is shifted 7 units up and is steeper than the parent function, which of these could represent the function?

f(x) = 7x + 3

f(x) = x + 7

f(x) = 3/2x + 7

f(x) = 2/3x + 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled

f(x) = 5x - 2

f(x) = 4x + 2

f(x) = 4x + 3

f(x) = 5x - 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.8

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