Algebra Linear Transformations Flashcard

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

How does multiplying a function by a constant affect its graph?

Back

Multiplying a function by a constant greater than 1 makes the graph steeper, while multiplying by a constant between 0 and 1 makes it less steep.

Front

What does it mean to shift a graph up or down?

Back

Shifting a graph up means adding a constant to the function, while shifting it down means subtracting a constant from the function.

Front

Back

The transformation shifts the graph of f up by 4 units.

Front

Back

The transformation shifts the graph of f to the right by 3 units.

Front

Back

The transformation reflects the graph of f across the x-axis.

Front

How do you represent a function that is shifted down 2 units?

Back

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is the general form of a linear function?

Back