Linear Transformations

Which transformation will occur if y = x is replaced with y = x+2?

• Left 2 units

• Right 2 units

• Up by 2 units.

• Reflection across the x-axis.

What is the linear parent function?

• f(x) = x 
• y = mx + b 
• f(x) = 2x 
• f(x)  = y 

How did the equation shift from the parent function? y=1/2x

• Steeper
• shift up
• Less steep
• shift down

How did the equation shift from the parent function? y=3x-2

• less steep and shift down 2
• Shift up 2
• Shift down 2
• steeper and shift down 2

Which transformation will occur if f(x) = x is replaced with -f(x)?

• Vertical stretch

• Narrower

• Vertical translation up by 2 units.

• Reflection

Which transformation will occur if y = x is replaced with y = x+2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

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

Select all the transformations if the parent function is f(x) and the transformed function is g(x).

• Reflection

• Less Steep

• Steeper

• Translation Up

• Translation Down

Select all the transformations if the parent function is f(x) and the transformed function is g(x).

• Reflection

• Less Steep

• Steeper

• Translation Up

• Translation Down

Select all the transformations if the parent function is f(x) and the transformed function is g(x).

• Reflection

• Less Steep

• Steeper

• Translation Up

• Translation Down