Graph quadratic functions in vertex form

The  exercise appears under the Algebra I Math Mission. This exercise practices graping quadratic functions that are given in the vertex form $$a(x+b)^2+c$$.

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 vertex form.PNG

Strategies
Knowledge of any graphing technique will ensure success on this exercise, from a T-table to other more efficient methods.
 * 1) The equation is in vertex form, so users can use the vertex as one of the points.
 * 2) When the equation is written in vertex form like this, the vertex is the point $$(h,k)$$: $$y=a(x-h)^2+k$$.

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.