Using Roots to Generate an Equation
Find an equation of a parabola given the point(s) where it crosses the x-axis.
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Find an equation of a parabola given the point(s) where it crosses the x-axis.
Describe the symmetry of a function.
What is the largest number of times a function can cross the x-axis? How about the smallest number of times?
Given a set number of points on the coordinate plane, how many lines or parabolas can you make through these points?
Find a shortcut to find the x-coordinate of the maximum or minimum of a parabola.
What happens when two equations in the form y = mx + b are set equal to each other?
The line Ax + By = C will form a triangle with the x and y axis for what values of A, B, and C?
Discover what happens to the graph when you vary the values for n and b in the equation g(n) = n2 + b.
In the equation Ax + By = C, what happens when A or B or C is zero?
Use a system of equations to determine the fractional form of a repeating decimal.