Linear transformations

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

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

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

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

• The graph of f is shifted 12 units to the right to create the graph of g.

• The graph of f is shifted 12 units down to create the graph of g.

• The graph of f is shifted 12 units up to create the graph of g.

• The graph of f is shifted 12 units to the left to create the graph of g.

Tags

CCSS.HSF.BF.B.3

A student graphed f(x) = x and g(x) = 2f(x). Which statement is true?

• The graph of g is steeper than the graph of f.

• The graph of g is less steep than the graph of f.

• The graph of f is shifted 2 units up to create the graph of g.

• The graph of f is shifted 2 units to the right to create the graph of g.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

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

Describe the transformation from the parent function: y = x + 10

• Steeper by 10

• Shift up 10

• Shift down 10

• Flatter by 10

Tags

CCSS.HSF.BF.B.3

Describe the transformation from the parent function: y = 3x + 5

• Steeper; Shift up 5 units

• Steeper; Shift down 5 units

• Flatter; Shift up 5 units

• Flatter; Shift down 5 units

Tags

CCSS.HSF.BF.B.3

Which of the following equations has a slope of 0?

• y = 4x

• x = 4

• y = 4

• y = x

Tags

CCSS.8.EE.B.5