Graphs of Quadratic Equations with Complex Solutions
1. Identify each of the graphs by clicking on the graphs below anywhere on the graph. Notice that the function will highlight each graph once you click on the curve.
1. Compare the graphs below and identify all the features that the graphs have in common. 2. At what coordinate point do all of the graphs intersect? What is this point of intersection called mathematically? Can you explain why all of these graphs intersect at this point? 3. Why don't any of these graphs cross the x-axis? Can you use the information from the equations to predict if these graphs will cross the x-axis? 4. Looking at the equations for the other 3 graphs can you determine if these graphs will cross the x-axis? Will they share a point of intersection? If yes, what is the coordinate point? Why can't you see these graphs? Where are they?