4.7 Linear Transformations and Domain & Range

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

What does it mean to dilate a function?

Back

Dilation of a function means to stretch or compress the graph vertically or horizontally, affecting the slope of the line.

Front

How does a dilation of 2 affect the slope of a linear function?

Back

A dilation of 2 makes the slope steeper, meaning the line rises more quickly.

Front

What is the effect of translating a function up by 5 units?

Back

Translating a function up by 5 units shifts the entire graph vertically upwards by 5 units.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify the lowest and highest y-values that the graph reaches.

Front

What does a reflection over the x-axis do to a function?

Back

A reflection over the x-axis flips the graph of the function upside down.

Front

What is the effect of a translation down by 2 units?

Back

A translation down by 2 units shifts the entire graph vertically downwards by 2 units.

Front

Back