Rational Transformations

Front

What are asymptotes?

Back

Asymptotes are lines that a graph approaches but never touches. They can be vertical, horizontal, or oblique.

Front

Back

Horizontal asymptote: y = 1; Vertical asymptote: x = -2.

Front

What is the equation of the function with the following transformations: Shift up by 2 units and reflected over the x-axis?

Back

Front

What is the equation of the function with the following transformations: Shift down by 2 units and reflected over the y-axis?

Back

Front

What is the equation of the function with the following transformations: Shift up by 2 units and reflected over the y-axis?

Back

Front

What is the equation of the function with the following transformations: Shift left by 2 units and reflected over the x-axis?

Back

Front

Which of the following is undefined? 6/0, 0/4, -0, 0

Back

6/0 is undefined.

Front

What is a vertical asymptote?

Back

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

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line y = b where the function approaches b as x approaches infinity or negative infinity.

Front

How do you find vertical asymptotes of a rational function?

Back

Set the denominator equal to zero and solve for x.