Graph quadratic functions in standard form

The  exercise appears under the Algebra I Math Mission. This exercise practices graph quadratic functions given in the standard form $$ax^2+bx+c$$.

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


 * 1) Graph the quadratic equation: This problem provides an equation of a parabola and a graphing plane. The student is expected to correctly graph the quadratic equation on the plane by dragging the three points.Graph quadratic functions in standard form.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.
 * 2) Quadratics are used to model acceleration due to gravity and are useful in the inverse square law from physics.