The graph of a quadratic function [Math 20] is called a parabola, while the graph of a linear function [Math 10] is called a line. We've looked at how to find the intersection point for a system of two lines; let's look at what happens when you solve a system consisting of a line and a parabola. Here are all the possibilities: No solution no intersection point   One solution (V) line is vertical   One solution (T) line is a tangent   Two solutions Two intersection points Remember that both parabolas and lines have infinite domains and ranges In order to solve for the intersection points you will need to be able to solve a quadratic equation using Factoring or the General Quadratic Formula. We'll look at both a graphical and algebraic solution for each: No Solution | One Solution (V) | One Solution (T) | Two Solutions Resources Content, HTML, graphics & design by Bill Willis 2024