Transformations Equations

Front

What is a transformation in mathematics?

Back

A transformation in mathematics refers to the process of changing the position, size, or shape of a graph or function.

Front

What does a vertical shift of a function mean?

Back

A vertical shift moves the graph of a function up or down without changing its shape.

Front

How does the equation y = x + 7 transform the parent function y = x?

Back

It shifts the graph of the parent function up by 7 units.

Front

What is a horizontal shift in a function?

Back

A horizontal shift moves the graph of a function left or right along the x-axis.

Front

What does the notation f(x - c) represent?

Back

It represents a horizontal shift of the function f(x) to the right by c units.

Front

What does the notation f(x + c) represent?

Back

It represents a horizontal shift of the function f(x) to the left by c units.

Front

What is a vertical stretch?

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?

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

How does the equation y = 3f(x) transform the function f(x)?

Back

It vertically stretches the graph of f(x) by a factor of 3.

Front

What does the transformation f(x - 2) indicate?

Back

It indicates a horizontal shift of the function f(x) to the right by 2 units.