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Transformations of Quadratic Functions

Authored by Angela Messenger

Mathematics

KG - University

CCSS covered

Used 885+ times

Transformations of Quadratic Functions
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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?

a translation shifting f(x) 4 units up

a translation shifting f(x) 4 units down
a translation shifting f(x) 4 units to the left
a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation will occur if f(x) = x2 is replaced with 2⋅f(x)?

Wider

Narrower

Vertical translation up by 2 units.
Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation will occur if f(x) = x2 is replaced with f(x) + 2?

Translation left 2 units

Narrower

Vertical translation up by 2 units.
Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation will occur if f(x) = x2 is replaced with -f(x)?

Nothing happens, it stays the same.

Narrower

Vertical translation up by 2 units.
Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

(-2, 5)
(-6, 5)
(-4, 3)
(-4, 7)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.11

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Yes, "+3" on the end of the function moves the function to the right 3 units
No, "+3" on the end of the function moves the function to the left 3 units
No, "+3" on the end of the function moves the function to the down 3 units
No, "+3" on the end of the function moves the function to the up 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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