Graphing parabolas in standard form

The  exercise appears under the Algebra I Math Mission. This exercise practices graphing parabolas.

Types of Problems
There is one type of problem in this exercise:


 * 1) Graph the parabola: This problem provides an equation of a parabola and a graphing plane. The student is asked to graph the parabola on the plane using the graphing manipulative.Gpisf1.png

Strategies
Knowledge of any graphing technique will ensure success on this exercise, from a T-table to other more efficient methods.
 * 1) In the standard form a T-table can be the most efficient method to graph.
 * 2) If the vertex can be located, then symmetry ensures that values on one side will occur on the other side.
 * 3) If the given standard form of the parabola can be factored quickly, this will locate x-intercepts. Then the vertex is located half-way between the x-intercepts due to symmetry.

Real-life Applications

 * 1) Parabolas are used to model many situations in physics and business.