Transformations of Functions

Front

What is a transformation of a function?

Back

A transformation of a function refers to the changes made to the graph of the function, which can include translations, reflections, stretches, and compressions.

Front

What does it mean to translate a function up?

Back

Translating a function up means shifting the entire graph of the function vertically in the positive y-direction by a certain number of units.

Front

What does it mean to translate a function down?

Back

Translating a function down means shifting the entire graph of the function vertically in the negative y-direction by a certain number of units.

Front

What does it mean to translate a function left?

Back

Translating a function left means shifting the entire graph of the function horizontally in the negative x-direction by a certain number of units.

Front

What does it mean to translate a function right?

Back

Translating a function right means shifting the entire graph of the function horizontally in the positive x-direction by a certain number of units.

Front

What is a vertical stretch of a function?

Back

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

Front

What is a vertical compression of a function?

Back

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

Front

What is a horizontal stretch of a function?

Back

A horizontal stretch occurs when the input values of a function are multiplied by a factor between 0 and 1, making the graph wider.

Front

What is a horizontal compression of a function?

Back

A horizontal compression occurs when the input values of a function are multiplied by a factor greater than 1, making the graph narrower.

Front

How does the equation y = |x| + 2 transform the graph of y = |x|?

Back

The graph of y = |x| is translated up 2 units.