Analyze Transformations and Piece-Defined Functions

What is f(-4)?

• -4

• 2

• -2

• 4

Tags

CCSS.HSF.IF.A.2

What is the RANGE of the function?

• (-∞, +∞)

• (-∞, 4]

• (-∞, 4)

• [0, 4]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

• Vertical Compression by a factor of 2

• Vertical Stretch by a factor of 2

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which transformation will occur if f(x) = x² is replaced with 1/2⋅f(x)?

• Vertical Compression by a factor of 1/2

• Vertical Stretch by a factor of 1/2

• Vertical translation up by 2 units.

• Reflection across the x-axis.

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.

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 = 5f(x)

• 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

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

• 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

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

• The graph of y = f(x) was flipped vertically across the x axis. 

• The graph of y = f(x) was flipped horizontally across the y axis.

• The graph of y = f(x) was shifted down.

• The graph of y = f(x) was shifted up

Tags

CCSS.HSF.BF.B.3