Describing Transformations of Functions

Describe the transformation of y = f(x) for the new function
 y = f(x - 2)

• The graph of y = f(x) was shifted to the right 2 units. 
• The graph of y = f(x) was shifted to the left 2 units. 
• The graph of y = f(x) was shifted up 2 units. 
• The graph of y = f(x) was shifted down 2 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = f(x + 2)

• The graph of y = f(x) was shifted to the right 2 units. 
• The graph of y = f(x) was shifted to the left 2 units. 
• The graph of y = f(x) was shifted up 2 units. 
• The graph of y = f(x) was shifted down 2 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = f(x) + 2

• The graph of y = f(x) was shifted to the right 2 units. 
• The graph of y = f(x) was shifted to the left 2 units. 
• The graph of y = f(x) was shifted up 2 units. 
• The graph of y = f(x) was shifted down 2 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = f(x) - 2

• The graph of y = f(x) was shifted to the right 2 units. 
• The graph of y = f(x) was shifted to the left 2 units. 
• The graph of y = f(x) was shifted up 2 units. 
• The graph of y = f(x) was shifted down 2 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = f(x - 5)

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = f(x + 5)

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = f(x) + 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = f(5x)

• The graph of y = f(x) compressed horizontally by a factor of 1/5
• The graph of y = f(x) was stretched horizontally by a factor of 5
• The graph of y = f(x) was compressed vertically by a factor of 1/5
• The graph of y = f(x) was stretched vertically by a factor of 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of y = f(x) for the new function
 y = f(1/5x)

• The graph of y = f(x) compressed horizontally by a factor of 1/5
• The graph of y = f(x) was stretched horizontally by a factor of 5
• The graph of y = f(x) was compressed vertically by a factor of 1/5
• The graph of y = f(x) was stretched vertically by a factor of 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2