Horizontal & Vertical Shifts of Linear Functions

Describe the transformation of f(x) that results in g(x):
g(x)=f(x) - 2

• f(x) has been translated up 2.
• f(x) has been translated down 2.
• f(x) has been translated right 2.
• f(x) has been translated left 2.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of f(x) that results in g(x):
g(x)=f(x) - 4

• f(x) has been translated down 4.
• f(x) has been translated up 4.
• f(x) has been translated right 4.
• f(x) has been translated left 4.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-4)

• f(x) has been translated to the right 4.
• f(x) has been translated to the left 4.
• f(x) has been translated down 4.
• f(x) has been translated up 4. 

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-3)

• f(x) has been translated to the right 3.
• f(x) has been translated to the left 3.
• f(x) has been translated down 3.
• f(x) has been translated up 3.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-1)-5

• f(x) has been translated to the left one and down five.
• f(x) has been translated to the right one and down five.
• f(x) has been translated to the left one and up five.
• f(x) has been translated to the right one and up five.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-4)+6

• f(x) has been translated to the left four and down six.
• f(x) has been translated to the right four and down six.
• f(x) has been translated to the left four and up six.
• f(x) has been translated to the right four and up six.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-4)

• f(x) has been translated to the right 4.
• f(x) has been translated to the left 4.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-3)

• f(x) has been translated to the right 3.
• f(x) has been translated to the left 3.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of f(x) that results in g(x):
g(x)=f(x+9)

• f(x) has been translated to the left 9.
• f(x) has been translated to the right 9.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-1)-5

• f(x) has been translated to the left one and down five.
• f(x) has been translated to the right one and down five.
• f(x) has been translated to the left one and up five.
• f(x) has been translated to the right one and up five.

Tags

CCSS.HSF.BF.B.3