Transformations of Quadratic Functions

Transformations of Quadratic Functions

9th - 12th Grade

25 Qs

quiz-placeholder

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Transformations of Quadratic Functions

Transformations of Quadratic Functions

Assessment

Quiz

Mathematics, English

9th - 12th Grade

Medium

CCSS
HSF.BF.B.3, HSG.CO.A.2, HSF-IF.C.7A

+9

Standards-aligned

Created by

Ramon Rasaq

Used 23+ times

FREE Resource

25 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.4

CCSS.HSG.CO.A.5

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

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.B.4

CCSS.HSF.IF.C.7

5.

MULTIPLE CHOICE QUESTION

2 mins • 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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The vertex of the quadratic function f(x) = -2x2 + 4x + 3 if (1, 5). If g(x) = f(x - 2), what is the vertex of g(x)
(1, 3)
(1, 7)
(-1, 5)
(3, 5)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How did we transform from the parent function?
g(x) = -1/5(x - 1)2 + 7
reflection, vertical compression, horizontal right, vertical up
vertical compression, horizontal shift left, vertical shift up
reflection, horizontal shift right, vertical shift down
no changes were made to y = x2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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