Linear Transformations

If the graph of the parent function is shifted 7 units up and is steeper than the parent function, which of these could represent the function?

• f(x) = 7x + 3

• f(x) = x + 7

• f(x) = 3/2x + 7

• f(x) = 2/3x + 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Tags

CCSS.HSF.BF.B.3

What is the parent function

of linear functions?

• y = 2x

• y = mx + b

• f(x) = x

• Not here

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Name the transformation(s):

f(x) = -x + 8

g(x) = x + 4

• Reflection

• Reflection, vertical shift down 4

• Vertical shift down 4

• Reflection, vertical shift up 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

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

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

Given the graph above, which equation shifts line down 5 units?

• y = 4x - 1

• y = 2x - 6

• y = 4x - 6

• y = 2x - 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

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

How did the equation shift from the parent function? y=3x

• Shift 3 up
• shift 4 up
• Rotate 3 counter-clockwise
• Rotate 3 clockwise

Is the function Linear or Nonlinear?

• Linear
• Nonlinear

Tags

CCSS.8.F.A.3