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Transformation of cubic functions

Authored by Lydia Langat

Mathematics

10th Grade

CCSS covered

Used 5+ times

Transformation of cubic functions
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7 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Describe the transformation of the graph y = (x)3 + 6

Right 6

Left 6

Up 6

Down 6

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)?

A. g(x) = -x3

B. g(x) = x3 - 1

C. g(x) = (x + 1)3

D. g(x) = (x - 1)3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Describe the transformation of the graph y = -2(x + 5)3

Vertically shrink by a factor of 2, Reflected over y-axis, Shift right 5

Vertically stretch by 2, Reflected over x-axis, shift left 5

Vertically stretch by 2, Reflected over x-axis, Shift right 5

Vertically shrink by 2, reflected over y-axis, shift left 5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation of the graph  
y = ½x3

Vertical compression by 1/2
Horizontal compression by 1/2
Vertical stretch by 2
Horizontal stretch by 2

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following does not describe the transformation of the graph g(x) = - ½(x + 4)3 - 1 from f(x) = x3

Left 4 

Vertical shrink by -1/2

Reflection on x-axis

Shift down 1 unit

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write a cubic functions with the following transformations.

-Up 2

-Left 5

y = (x + 5)3 + 2

y = (x - 5)3 - 2

y = (x - 5)3 + 2

y = (x + 5)3 - 2

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The function f(x) = 2(x-4)3 is transformed to h(x) = 2(x+1)3 +1. Describe the transformation.

Shift left 5 units, and up 1 unit

Shift left 1 units, and down 1 unit

Shift right 5 units, and up 1 unit

Shift left 5 units, and down 1 unit

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