Transformations of Linear Graphs

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

Flips the graph over

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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

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

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