Linear Transformations

Identify the line less steep than:

y = 3x + 8

• y = 5x + 8

• y = 3x + 5

• y = -3x + 6

• y = 2x + 7

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

Tags

CCSS.HSF.BF.B.3

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled

• f(x) = 5x - 2

• f(x) = 4x + 2

• f(x) = 4x + 3

• f(x) = 5x - 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.8

Compare the equations f(x) = 12x + 2 and g(x) = 6x – 2. Which best describes the transformation(s) from f(x) to g(x)?

• Vertical shift down 2, less steep slope

• Vertical shift up 4, double the slope

• Vertical shift down 4, half the slope

• Steeper by 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.9

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Tags

CCSS.HSF.BF.B.3

How does the graph of g(x) compare to f(x)?

• g(x) is steeper and shifted down from f(x)

• g(x) is steeper and shifted up from f(x)

• g(x) is flatter and shifted down from f(x)

• g(x) is flatter and shifted up from f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.9

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

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 3. Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

If you are given the equation y = 5x + 1. Which of the following equations is a vertical stretch?

• y = 2x + 9

• y = 7x + 1

• y = 2x - 1

• y = 2x + 1

Tags

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x is replaced with  $\frac{1}{4}f\left(x\right)$  ?

• Vertical stretch by a factor of 4

• Vertical compression by a factor of 1/4

• Vertical translation up by 1/4 units.

• Horizontal compression by a factor of 1/4

Tags

CCSS.HSF.BF.B.3