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Transformations of parent functions

Authored by Kaitlin Mahoney

Mathematics

10th - 12th Grade

CCSS covered

Used 12+ times

Transformations of parent functions
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18 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Media Image

y = Ix + 2I - 1
y = -Ix + 2I - 1
y = -Ix - 2I - 1
y = -Ix + 1I - 2

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

y = -|x + 2| - 7 
y = |x - 2| - 7 
y = -|x - 2| - 7
y = -|x - 2| + 7

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given f(x) = (x-3)2 + 5.  What transformations took place from the original function f(x)?

Left 3 and up 5
Right 3 and down 5
Left 3 and down 5
Right 3 and up 5

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

  The blue function is the original function f(x) = x3.  Which of the following is the correct equation for the red function, g(x)?

g(x)=x3+1
g(x)=x3-1
g(x)=(x-1)3
g(x)=(x+1)3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What are the transformations of this functions compared to the parent function y = √(x)?

Shifted right 5, shifted down 2, and reflected over the x-axis
Reflected over the x-axis, vertical stretch, and shifted right 5
Reflected over the x-axis, vertical stretch, and shifted left 5
Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Match the equation to its description.

Right 2 and up 2
Left 2 and up 2
Right 2 and down 2
Left 2 and down 2

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What is the equation of the graph shown?

y= (x-2)3 + 4
y= (x+2)+ 4
y = - (x-2)+ 4
y= - (x+2)3 + 4

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

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