


Challenge 


Quadratic Function:
A function of degree 2 which has a graph that "turns around" once, resembling an umbrellalike curve that faces either rightside up or upside down. This graph is called a parabola. 
Properties of Parabolas: Observe how the coefficients of a quadratic equation affect properties on the graph.
Changing Intercepts: Discover what happens to the graph when you vary the values for n and b in the equation g(n) = n^{2} + b.
Minimizing Products: Find two positive integers with a given sum and which have the smallest product.
Moving Parabolas: Generalize the effects on the roots and minimum when modifying a coefficient of a function in the form y = 6x^{2} + bx.
Finding the Maximum: Find a shortcut to determine the xcoordinate of the maximum or minimum of a parabola.


