Graphs of Linear Transformations

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

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

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

Name the parent function. 

• linear

• constant

• absolute value

• quadratic

Match the following graphs to the correct transformations of f(x) = x (BLACK LINE) to g(x) (RED LINE).

• g(x) = -f(x)

• 
• g(x) = f(x) + 5

• 
• g(x)= 1/3f(x)

• 
• g(x) = 3f(x)

• 
• g(x) = f(x) - 5

• 

The equation of the linear function h(x) is shown. 

h(x) =  - 2x + 5

Choose a graph that represent the linear function

j(x) = h(x) - 4.

Tags

A.FGR.2

The equation of the linear function h(x) is shown. h(x) =  - 2x + 5Choose a graph that represent the linear functionj(x) = h(x) - 4.

Tags

A.FGR.2

Which function is best represented by the graph of g?

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

• Graph g is a reflection.

• Graph g translated down 2 units.

• Graph g is steeper.

• Graph g is less steep.

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

• Graph g rotated

• Graph g translated down 4 units

• Graph g translated up 4 units

• Graph g reflected