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Transformations of Functions Graphs

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Transformations of Functions Graphs
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

If the blue graph is the parent function, what is the equation of the red (transformed) function?

g(x)=x3+1

g(x)=x3-1

g(x)=(x-1)3

g(x)=(x+1)3

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The graph shows the function f(x)=x3 in blue and another function g(x) in red.  Which could be the equation for g(x)?

g(x) = -x3

g(x) = x3 - 1

g(x) = (x + 1)3

g(x) = (x - 1)3

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

1 min • 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

4.

MULTIPLE CHOICE QUESTION

1 min • 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

5.

DRAG AND DROP QUESTION

1 min • 1 pt

If f(x) = x3 is changed to f(x) = - (x + 3)3 + 2, how is the graph transformed?

Shape Change: ​ (a)  

Horizontal Change ​ (b)  

Vertical Change: ​ (c)  

Parent Function: ​ (d)  

Flip

Vertical Stretch

Horizontal Stretch

Left 3

Right 3

Right 2

Up 2

Down 2

Polynomial: Cubic

Quadratic

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

horizontal shift down and vertical shift left

horizontal shift left and vertical shift down

horizontal shift right and vertical shift up

horizontal shift up and vertical shift right

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the transformations of this functions compared to the parent function?

Shifted down 2

Shifted up 2

Shifted left 2

Shifted right 2

Tags

CCSS.HSF.BF.B.3

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