Transformation of Functions

Front

What is a transformation of a function?

Back

A transformation of a function refers to the changes made to the graph of the parent function, which can include shifts, stretches, compressions, and reflections.

Front

What does a horizontal shift to the left by 'h' units look like in function notation?

Back

The function notation for a horizontal shift to the left by 'h' units is f(x + h).

Front

What does a horizontal shift to the right by 'h' units look like in function notation?

Back

The function notation for a horizontal shift to the right by 'h' units is f(x - h).

Front

What does a vertical shift up by 'k' units look like in function notation?

Back

The function notation for a vertical shift up by 'k' units is f(x) + k.

Front

What does a vertical shift down by 'k' units look like in function notation?

Back

The function notation for a vertical shift down by 'k' units is f(x) - k.

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, resulting in a steeper graph.

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, resulting in a flatter graph.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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