This week in math we learned how to change an equation that is in vertex form into general form.

Vertex form is also known as standard form. It is important to know how to convert to one another because each equation reveals different components when trying to graph it.

First we need to know what vertex form looks like:

And now this is what general form looks like:

So if my equation in vertex form was:

First I have to square the brackets as a WHOLE and then I have to FOIL the number within.  Next, I will take the coefficient out front and multiply what I just foiled.  Lastly, I will add like terms.  Now it is in general form.

On the other hand, if my equation was in general form I have to complete the square:

First I will divide the middle term by two and then square it.  I will create zero pairs by doing this.  Finally, I will add or subtract the like terms.