Continuing with the study of graphing hyperbolas, Sal shows an example of graphing a parabola that is centered at a point off the origin. By looking at the equation, first without shifting it, he helps listeners develop an intuitive...

Here is an example in this video of graphing a hyperbola centered at the origin. First, Sal shows solving for the equations of the asymptotes and then shows how to determine the direction of the hyperbola. He takes the approach of not...

In this video, Sal starts with the equation of a hyperbola by first comparing it to the equation of the circle, and ellipse. He then shows how to find the equation of the asymptotes by solving for y. He also shows a few intuitive ways to...

Video shows an example of finding the horizontal and vertical asymptotes of a rational function. Also shows finding the behavior of the function as it approaches the asymptotes and uses this information to sketch a graph of the function....

Video shows an example of finding asymptotes of a rational function. Uses the asymptotes and the behavior near the asymptotes to graph the function. Includes an example of a rational function that does not have asymptotes. [8:20]

Video explains what asymptotes are and demonstrates how to determine the asymptotes of rational functions. Includes rules for horizontal asymptotes based on the highest power of the numerator and denominator of the rational function....

The lesson here demonstrates how to determine where on a graph the asymptotes for secant and cosecant functions will occur. This lesson is 7 of 7 in the series titled "Finding Secant and Cosecant Asymptotes."

The lesson here demonstrates how to determine where on a graph the asymptotes for tangent and cotangent functions will occur. This lesson is 7 of 7 in the series titled "Finding the Asymptotes of Tangent and Cotangent."

This lesson shows how to find the horizontal asymptote for a rational equation. It is 5 of 7 in the series titled "Finding the Horizontal Asymptote of a Rational Equation."

Relationships between the graphs of secant and cosine are explored in this lesson. It is 1 of 5 in the series titled "Secant and Cosine."

Relationships between the graphs of cosecant and sine are explored in this lesson. It is 2 of 5 in the series titled "Cosecant and Sine." [2:04]

Relationships between the graphs of cosecant and sine are explored in this lesson. It is 3 of 5 in the series titled "Cosecant and Sine." [2:57]

Relationships between the graphs of cosecant and sine are explored in this lesson. It is 1 of 5 in the series titled "Cosecant and Sine." [3:03]

This lesson shows how to recognize when a tangent line is vertical by determining if the slope is undefined. It is 2 of 7 in the series titled "Finding a Vertical Tangent."

This lesson shows how to recognize when a tangent line is vertical by determining if the slope is undefined. It is 5 of 7 in the series titled "Finding a Vertical Tangent."

This lesson shows how to recognize when a tangent line is vertical by determining if the slope is undefined. It is 6 of 7 in the series titled "Finding a Vertical Tangent."

This lesson shows how to recognize when a tangent line is vertical by determining if the slope is undefined. It is 7 of 7 in the series titled "Finding a Vertical Tangent."

This lesson shows how to recognize when a tangent line is vertical by determining if the slope is undefined. It is 1 of 7 in the series titled "Finding a Vertical Tangent."

The lesson here demonstrates how to determine where on a graph the asymptotes for secant and cosecant functions will occur. This lesson is 5 of 7 in the series titled "Finding Secant and Cosecant Asymptotes."

The lesson here demonstrates how to determine where on a graph the asymptotes for tangent and cotangent functions will occur. This lesson is 2 of 7 in the series titled "Finding the Asymptotes of Tangent and Cotangent."

The lesson here demonstrates how to determine where on a graph the asymptotes for tangent and cotangent functions will occur. This lesson is 5 of 7 in the series titled "Finding the Asymptotes of Tangent and Cotangent."

The lesson here demonstrates how to determine where on a graph the asymptotes for tangent and cotangent functions will occur. This lesson is 6 of 7 in the series titled "Finding the Asymptotes of Tangent and Cotangent."