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

a horizontal translation 4 units to the left

a vertical translation 4 units up

a vertical translation 4 units down

a horizontal translation 4 units to the right

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

g ( x ) = f ( x − 3 ) g\left(x\right)\ =f\left(x-3\right) g ( x ) = f ( x − 3 )

g ( x ) = f ( x + 3 ) g\left(x\right)\ =\ f\left(x+3\right) g ( x ) = f ( x + 3 )

g ( x ) = f ( x ) + 3 g\left(x\right)\ =f\left(x\right)\ +3 g ( x ) = f ( x ) + 3

g ( x ) = f ( x ) − 3 g\left(x\right)\ =\ f\left(x\right)\ -3 g ( x ) = f ( x ) − 3

Algebra 1 Horizontal Transformations

Authored by Diana Skerrett

Mathematics

9th - 10th Grade

CCSS covered

Used 46+ times

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Name the parent function.

linear

quadratic

absolute value

cubic

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Name the parent function.

linear

quadratic

cubic

logarithmic

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

horizontal shift left 7 units

horizontal shift right 7 units

vertical shift up 7 units

vertical shift down 7 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the equation of the graph below?

f(x) = I x + 2 I

f(x) = I x + 2 I +2

f(x) = I x - 2 I +2

f(x) = I x - 2 I

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which equation describes the transformation of shifting f(x)=x² two units right?

x² + 2

x² - 2

(x + 2)²

(x - 2)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the parent function for an absolute value function?

f(x)=x³

f(x)=x

f(x)=IxI

f(x)=x²

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which equation below is a quadratic function translated left 4 units?

y = x² + 4

y = (x + 4)²

y = (x - 4)²

y = 4x²

Tags

CCSS.HSF.BF.B.3

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Algebra 1 Horizontal Transformations

Name the parent function.

Name the parent function.

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

What is the equation of the graph below?

Which equation describes the transformation of shifting f(x)=x² two units right?

What is the parent function for an absolute value function?

Which equation below is a quadratic function translated left 4 units?

Given f(x) = (x + 3)² , how did we transform from the parent function?

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

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

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Algebra 1 Horizontal Transformations

Name the parent function.

Name the parent function.

Describe the transformations of f(x) when compared to the parent function.f(x)=(x+7)2

What is the equation of the graph below?

Which equation describes the transformation of shifting f(x)=x2 two units right?

What is the parent function for an absolute value function?

Which equation below is a quadratic function translated left 4 units?

Given f(x) = (x + 3)² , how did we transform from the parent function?

Describe the transformation of the equation below from the parent function of y = I x Iy = I x - 4 I

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

Which equation describes the transformation of shifting f(x)=x² two units right?

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

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