Using Roots to Generate an Equation

Find an equation of a parabola given the point(s) where it crosses the x-axis.

Symmetry of Polynomial Functions

Describe the symmetry of a function.

Fundamental Theorem of Algebra

What is the largest number of times a function can cross the x-axis? How about the smallest number of times?

Minimum Criteria

Given a set number of points on the coordinate plane, how many lines or parabolas can you make through these points?

Ending the Maximum

Find a shortcut to find the x-coordinate of the maximum or minimum of a parabola.

Does 0=0?

What happens when two equations in the form y = mx + b are set equal to each other?

Triangle from a Line

The line Ax + By = C will form a triangle with the x and y axis for what values of A, B, and C?

Changing Intercepts

Discover what happens to the graph when you vary the values for n and b in the equation g(n) = n2 + b.

Zero Coefficients

In the equation Ax + By = C, what happens when A or B or C is zero?

Fractional Forms of Repeating Decimals

Use a system of equations to determine the fractional form of a repeating decimal.