Function Transformations

Front

What is a vertical stretch in function transformations?

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 does the transformation g(x) = 2f(x) represent?

Back

This represents a vertical stretch of the function f(x) by a factor of 2.

Front

What does the transformation f(x) + 4 indicate?

Back

This indicates a vertical shift of the graph of f(x) upwards by 4 units.

Front

What is the effect of the transformation f(x - 4)?

Back

This indicates a horizontal shift of the graph of f(x) to the right by 4 units.

Front

What does the transformation k(x) = f(x) - 9 represent?

Back

This represents a vertical shift of the graph of f(x) downwards by 9 units.

Front

How does the transformation p(x) = f(x + 3) affect the graph?

Back

This indicates a horizontal shift of the graph of f(x) to the left by 3 units.

Front

What is the effect of the transformation w(x) = f(x - 7)?

Back

This indicates a horizontal shift of the graph of f(x) to the right by 7 units.

Front

Define vertical compression in function transformations.

Back

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 the difference between a vertical shift and a horizontal shift?

Back

A vertical shift moves the graph up or down, while a horizontal shift moves the graph left or right.

Front

What does a negative sign in front of a function indicate?

Back

A negative sign indicates a reflection of the graph across the x-axis.