Rational Function Transformations

Front

What is an asymptote?

Back

An imaginary line that your function never touches.

Front

Back

Shifts left 2 units and down 5 units.

Front

Back

Front

Back

Shifts left 3 units.

Front

What is the general form of a rational function?

Back

Front

What happens to the graph of a rational function when the degree of the numerator is greater than the degree of the denominator?

Back

The graph will have a vertical asymptote and will approach infinity as x approaches the asymptote.

Front

What is a vertical asymptote?

Back

A vertical line x = a where the function approaches infinity or negative infinity.

Front

What is a horizontal asymptote?

Back

A horizontal line y = b that the function approaches as x approaches infinity or negative infinity.

Front

Back

Adding a constant shifts the graph vertically.

Front

Back

Adding a constant shifts the graph horizontally.