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Quadratic Function Translations and Dilations

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Quadratic Function Translations and Dilations
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11 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformations from the original parent function f(x) = x2.

g(x) = 5x2 + 2

Vertical Compression of 5

Translated Down 2

Vertical Compression of 5

Translated Up 2

Vertical Stretch of 5

Translated Up 2

Vertical Shrink of 5

Translated Down 2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Compare the function y = 5x2 to the parent function y = x2

Wider

Narrower

3.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Check ALL that apply: What transformations have occured to the function?

Translation up 2

Translation right 3

Horizontally Compressed by 1/3

Horizontally stretched by 3

Translated right 9

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the vertex form of a quadratic function?

f(x) = ax2 + bx + c

f(x) = a(x-h)2 + k

f(x) = a(x-p)(x-q)

f(x) = ax + b

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What determines the direction of a parabola's opening?

The value of b

The value of c

The sign of the coefficient a

The value of the vertex

Tags

CCSS.HSF-IF.C.7A

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation involves stretching or compressing the graph?

Dilation

Translation

Reflection

Rotation

Tags

CCSS.8.G.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation involves shifting the graph horizontally or vertically?

Translation

Reflection

Dilation

Rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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