24-25 Alg1 3-7 FLASHCARD - 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

The graph shifts vertically by c units. If c is positive, it shifts up; if negative, it shifts down.

Front

Back

The graph shifts horizontally to the right by c units. If c is negative, it shifts left.

Front

What is a vertical stretch in linear transformations?

Back

A vertical stretch occurs when the output of the function is multiplied by a factor greater than 1, making the graph steeper.

Front

What is a vertical compression in linear transformations?

Back

A vertical compression occurs when the output of the function is multiplied by a factor between 0 and 1, making the graph flatter.

Front

Back

The graph of the function is vertically stretched by a factor of 2.

Front

Back

The graph is reflected over the x-axis.

Front

Back

The graph shifts left by 3 units.

Front

Back

The graph shifts down by 4 units.