Function Transformations

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, from which other functions can be derived by transformations.

Front

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

Back

Vertical stretch by a factor of 7.

Front

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

Back

Left 1 unit.

Front

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

Back

Down 9 units.

Front

What does the transformation 'Right 2 and up 2' mean in terms of function transformations?

Back

The graph of the function is shifted 2 units to the right and 2 units up.

Front

What is a vertical compression?

Back

A vertical compression occurs when the output values of a function are multiplied by a factor less than 1, making the graph flatter.

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 does the transformation 'Left 2 and down 2' mean in terms of function transformations?

Back

The graph of the function is shifted 2 units to the left and 2 units down.

Front

How does the transformation f(x - 3) affect the graph of f(x)?

Back

It shifts the graph 3 units to the right.

Front

How does the transformation f(x) + 5 affect the graph of f(x)?

Back

It shifts the graph 5 units up.