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Quadratic Functions and Transformations

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Quadratic Functions and Transformations
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14 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the equation of this graph?

f(x) = (x -5)2 + 1

f(x) = (x - 1)2 - 5

f(x) = (x + 1)2 - 5

f(x) = (x + 5)2 +1

Tags

CCSS.HSF-IF.C.7A

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the horizontal shift of this equation?
y = -(x + 3)2 - 5

left 3

right 3

left 5

right 5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

If the blue graph is
f(x) = x
the red must be...

g(x) = (x + 3)2

g(x) = (x - 3)2

g(x) = x+ 3

g(x) = x- 2

4.

MULTIPLE CHOICE QUESTION

1 min • 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

1 min • 1 pt

Which describes the transformation of the graph of f(x)=x2+2 to the graph of g(x)=(-3x)2+2

A horizontal compression without reflection

A horizontal stretch without reflection.

A vertical compression without reflection

A vertical stretch and a translation

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

g(x)=x2-5

g(x)=x2+5

g(x)=(x-5)2

g(x)=(x+5)2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

g(x)=f(x + 3)

g(x)=f(x - 3)

g(x)=f(x) + 3

g(x)=f(x) - 2

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