Welcome to MPM2D0 

In Quadratics 

 

While discussing the types of quadratic equations. There are three types of equation we are going to be introduced to: 

• Vertex Form

• Standard Form 

• Factored Form

 

 A simple note how to covert a form to another.

 

Standard Form 

y= ax^2 + bx+c

 

 

 

                                                                               

                                   

 

 

 

 

 

 

 

 

 Vertex Form                                                                                           Factor Form

y= a (x-h)^2 + k                                                                                       y= a(x-r) (x-s)   

 

 

 

 

 

 

 

 

 

 

 

* The "a" value is the same for each form.

 

 

CONNECTION BETWEEN THE TOPICS 

 

 

• Simple trinomial and complex trinomial

 

The connection between simple trinomial and complex trinomial is that there is a number front of x so that makes it ax²+bx+c where simple trinomial is x²+bx+c or else the method of solving simple and complex trinomial is same. 

 

 

• Zeros and discriminant

 

Finding the zeros is when you get two x- intercepts and in discriminant you always will either have no x-intercepts, 1 x-intercept or 2 x-intercepts. The concept of x-intercept is same, therefore the idea of x-intercepts connect these topics.

 

 

• Standard form, Factored form and vertex form

 

All these topics are connected because all these equations make parabolas, solve parabolas and graph parabola. We can also convert these equations into each other therefore these 3 topics are connected.