Linear Transformations

Front

What is a linear transformation?

Back

A linear transformation is a function between two vector spaces that preserves the operations of vector addition and scalar multiplication.

Front

What is the parent function of linear functions?

Back

Front

Back

Front

Back

The graph of the parent function is shifted down 6 units.

Front

Back

It represents a vertical shrink by a factor of 1/4.

Front

What is the effect of a vertical shift in a linear function?

Back

A vertical shift moves the graph up or down without changing its slope.

Front

Back

The graph is reflected over the x-axis and shifted down 3 units.

Front

What is the difference between a vertical stretch and a vertical shrink?

Back

A vertical stretch increases the distance between points on the graph, while a vertical shrink decreases it.

Front

Back

It represents a vertical shrink by a factor of 1/2 and a vertical shift up 11 units.

Front

What does it mean for a function to be 'steeper'?

Back

A function is steeper if it has a larger absolute value of the slope.