|
The
software was designed for investigating quadratic equations and
functions and the effect of parameter values on their properties and
graphic representation.
The software enables the student the ability to explore in detail
either the Standard
Form y = ax2
+ bx + c or
the Completed Square Form y = a(x – x0)2
+y0 (where the (x0
, y0) are the coordinates
of the vertex), which is the simpler representation based on
the "completing the square" method. The transition between
the two forms is explained and presented in detail. The detailed
calculation of the transition is updated when changing any
parameter.
While the solution of the general equation is obtained only after
calculation, it is almost impossible to understand the effects of
the parameter values in the Standard form. In the Completed Square form, on
the other hand, these effects are easily understood.
It is recommended to teach and learn the transition from the
Standard form of the quadratic equation to its Completed Square form using
the "completing the square" technique.
It will then be easy to understand the properties of quadratic
equations.
Back
to Top
|
|
