Transformations HW1

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.HSF.IF.A.1

What is a translation of a linear function?

• a rotation

• a flip

• reflection

• a vertical shift

Tags

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.HSG.GPE.B.5

CCSS.HSS.ID.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

Choose ALL the equations that have the

same steepness as y = 3/4x + 9

• y = -3/4x - 6

• y = 0.75x + 1

• y = -4/3x + 9

• y = -9/12x - 2

Tags

CCSS.HSS.ID.C.7

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

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 2 units up of the graph of f
• The graph of f is a horizontal translation two units left of g
• The graph of g is a vertical stretch by a factor of 2 of the graph of f
• The graph of g is a reflection of the graph of f

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 4 units up from the graph f
• The graph of g is a horizontal translation of the graph of f, 4 units right
• The graph of g is a horizontal translation of the graph of f, 4 units left
• The graph of g is a vertical stretch of the graph of f, by a factor of 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5