Linear Function Transformation

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

Given y=mx+b, and you change the parameter b, what transformation has occurred?

• Reflection

• Vertical Stretch

• Vertical Shrink (compression)

• Translation (+b=up and -b=down)

How did the equation shift from the parent function?

• Shifted up "2" units

• Shifted down "2" units

• Stretches vertically

• Shrinks vertically

• Reflection

How did the equation f(x) = x change if g(x) = 1/2x + 11

• Vertical stretch and shift up 11

• Horizontal shrink and shift down 11

• Vertical shrink and shift up 11

• Horizontal stretch and shift down 11

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Compare the the transformations of the functions:

f(x)= -x + 8

g(x) = x + 4

• Reflection

• Reflection, vertical shift down 4

• Vertical shift down 4

• Reflection, vertical shift up 4

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

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.8.F.A.2

CCSS.HSF.IF.C.9

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

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

• Graph g is less steep by a factor of 1/5

• Graph g shifted down 1 unit

• Graph g is steeper by a factor of 1/5

• Graph g shifted up 2 units