Explore the Quadratic Equation

Quadratic Equation
A Quadratic Equation
(a, b, and c can have any value, except that a can't be 0.)

Try changing a, b and c to see what the graph looks like. Also see the "roots" (the solutions to the equation). Then read more about the Quadratic Equation.


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Explore

Move the a, b and c slider bars to explore the properties of the Quadratic Equation graph.

Look at

  • The effect of changes in a
  • The effect of changes in b
  • The effect of changes in c
  • The effect of a negative values of a
  • The effect of a positive values of a
  • What happens when a=0 ?
  • See if you can get the curve to just touch the x-axis (y=0)
  • Can you get the "roots" -1.0 and 1.0 ?

Roots

The "roots" are the solutions to the equation.

When the curve crosses the x-axis (y=0) you will have:

  • two solutions
  • or ONE solution (if it just touches)

But when the curve does not cross the line there are still solutions, however: