Linear Transformations Algebra

Linear Transformations

By Anna Colaric

Move lines up/down on graph.

Changes the y intercept.

Translations

Multiple Select

Select all the equations that have a translation from the parent function y=x.

• y=x+5

• y=x-2

• y= 2x

• y=1/2x

Fill in the Blanks

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

y =

Flips the graph over

​

Changes the sign of the slope​

Reflections

Multiple Select

Select all the equations that have been reflected from the parent function y=x.

• y=x+5

• y=-x-2

• y= 2x

• y= -1/2x

Fill in the Blanks

Write the equation of the line that has been reflected over the y axis and was originally y= -4x+1 (no spacing)

y =

multiply the slope by the scale factor ​

Dilations -- more steep

Multiple Select

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

• y=3x+5

• y=-x-2

• y= 2x

• y= -1/2x

Fill in the Blanks

Write the equation of the line that has been has been dilated with a scale factor of 3 from the parent function y=x. (write without spacing)

y =

divide the slope by the scale factor ​

Dilations -- less steep

Multiple Select

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

Fill in the Blanks

Write the equation of the line that is two times less steep from the equation y=x.

y =