Graphs and Ellipses

In this graphs instructional activity, students solve and complete 15 various types of problems. First, they determine the range of the function of the graph shown and write in interval notation. Then, students find the domain of the...

Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...

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...

This is the last of three well-done videos on identifying and graphing conic sections from an equation. Here, Sal graphs a circle that is not centered at the origin and a parabola that opens downward.

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...

So many methods and so little time! The efficient method of graphing a linear equation depends on what information the problem gives. Pupils learn three different methods of graphing linear equations. They graph equations using...

A video lesson that goes through four example problems dealing with conic sections. Topics covered include: finding the vertex of a parabola from its equation; finding the asymptotes of a hyperbola and then sketching its graph;...

Find the zeros on a given graph of a quadratic equation. What does this mean? It means to find the values at which the parabola crosses the x-axis. It seems pretty straightforward to be able to look at a graph and identify the points at...

There are many ways to solve a quadratic equation. Let's check out how to solve a quadratic equation by graphing. But first, let's find the axis of symmetry and the vertex before making a table of values. Write the values as ordered...

Watch this video and find out how to graph a quadratic equation when it's in intercept form! After going through the different forms of quadratic equations, an instructor leads viewers through an example problem. For the example problem,...