Linear Transformations (1st hour)

Write the equation of the line that translates up 4 units from the parent function y=x.

y = ______

Select all the equations that are steeper than then parent function y=x.

• y=3x+5

• y=-x-2

• y= 2x

• y= -1/2x

Select all the equations that are less steep than then parent function y=x.

• y=3x+5

• y=1/3x-2

• y= 2x

• y= -1/2x

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

• y = 4x - 1

• y = 2x - 6

• y = 4x - 6

• y = 2x - 1

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

What is the linear parent function?

• y = x

• y = mx + b

• f(x) = 2x

• Not here

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

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

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

• Graph g shifted down 3 units

• Graph g shifted down 4 units

• Graph g shifted up 4 units

• Graph g reflected

Describe the transformation of f(x) to g(x).

• down 5 units

• up 5 units

• right 5 units

• left 5 units