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 is a vertical compression in function transformations?

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 does the transformation g(x) = f(x - 3) represent?

Back

This transformation represents a horizontal shift of the graph of f(x) to the right by 3 units.

Front

What does the transformation g(x) = f(x + 5) represent?

Back

This transformation represents a horizontal shift of the graph of f(x) to the left by 5 units.

Front

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

Back

This transformation represents a vertical shift of the graph of f(x) upwards by 2 units.

Front

What does the transformation g(x) = f(x) - 4 represent?

Back

This transformation represents a vertical shift of the graph of f(x) downwards by 4 units.

Front

What is the effect of multiplying a function by a negative number?

Back

Multiplying a function by a negative number reflects the graph across the x-axis.

Front

What does the transformation g(x) = 0.5f(x) represent?

Back

This transformation represents a vertical compression of the graph of f(x) by a factor of 0.5.

Front

What does the transformation g(x) = f(x) + 9 represent?

Back

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

Front

What does the transformation g(x) = f(x - 1) + 3 represent?

Back

This transformation represents a horizontal shift of the graph of f(x) to the right by 1 unit and a vertical shift upwards by 3 units.