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 Challenge
 Minimum:  The lowest point on a graph. The smallest number in a data set.

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) = n2 + 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 = 6x2 + bx.

Finding the Maximum: Find a shortcut to determine the x-coordinate of the maximum or minimum of a parabola.