9.4: Interpret the Discriminant of a Quadratic Graphically
21.0: Students graph quadratic functions and know that their roots are the \(x\)-intercepts.
22.0: Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the \(x\)-axis in zero, one, or two points.
23.0: Students apply quadratic equations to physical problems, such as the motion of an object under the force of gravity.
Students will be able to use the discriminant to determine the number of \(x\)-intercepts for the graph of a quadratic equation.