Function Transformations

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 of the function 'squished' towards the x-axis.

Front

What transformation does h(x) = 1/5f(x) represent?

Back

Vertical compression by a factor of 1/5.

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 of the function 'stretched' away from the x-axis.

Front

What transformation does s(x) = 7f(x) represent?

Back

Vertical stretch by a factor of 7.

Front

What does the transformation m(x) = f(x + 1) indicate?

Back

The graph of the function is shifted left by 1 unit.

Front

What does the transformation g(x) = x^2 - 5 indicate?

Back

The graph of the function is shifted down by 5 units.

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 of the function 'squished' towards the y-axis.

Front

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

Back

Horizontal compression by a factor of 1/5.

Front

What does the transformation g(x) = (x - 5)^2 indicate?

Back

The graph of the function is shifted right by 5 units.

Front

What does the transformation g(x) = (x + 5)^2 indicate?

Back

The graph of the function is shifted left by 5 units.