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Transformations of Functions Recovery

Authored by undefined Lands

Mathematics

11th - 12th Grade

CCSS covered

Used 3+ times

Transformations of Functions Recovery
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7 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 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

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

-f(x)
f(-x)
f-1(x)
f(2x)

3.

MULTIPLE CHOICE QUESTION

5 mins • 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

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the transformation from the graph of f(x)=x2 to the graph g(x)= -(x+5)2

shifted up five units

reflection in x-axis

shifted down five units

reflection in x-axis

shifted left 5 units

reflection x-axis

shifted right 5 units

reflection x-axis

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The original function has equation f(x).  State the transformations given the new function f(x) = ⅔(x - 7)2 

Vertical Shrink of ⅔
Right 7
Horizontal Shrink of ⅔
Left 7
Left  ⅔
Vertical stretch of 7
Right ⅔
Horizontal stretch of 7

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

If the blue function is f(x)=x2, then the red function must be

g(x)=x2-5
g(x)=x2+5
g(x)=(x-5)2
g(x)=(x+5)2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

x3+7
x3-7
(x-7)3
(x+7)3

Tags

CCSS.HSF.BF.B.3

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