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Welcome so I have a whole little playlist on how to convert from standard form to vertex form, but I figured I'll just do one little video just so you have an idea in case you come across some problems where you have to being able to solve or graph you have to be able to convert from standard form to vertex form, so I figured I'd make a nice little video for you to do this so what we're planning on doing is going from y equals ax squared plus BX plus C and converting that to y equals a times X minus H squared plus okay, and you know there's a lot of reasons why we want to go through from slander form to vertex from a lot of times it's easier to graph it's very easy to find the vertex and so forth however it's not always so simple to convert from one to the other so what I did is I did I'm going to do three examples for you now the main important thing when we look at standard form out of vertex form is we notice that vertex form has a binomial squared and when we take a binomial, and we square it what we get is what we call a perfect square trinomial all right and that's what bike what we're going to do is we are going to create what we call a perfect square trinomial, and we're going to do that by what we call the process of completing the square, so there's going to be a couple steps, and I'm just gonna kind of go through each one individually, and I'm actually going to do it for each problem all together now the first step though we need to do is we need to make sure that when we are creating a perfect square trinomial that we have an is equal to one so here you can see we have an equal to one, so we're all set over here though I have a negative right that's a negative one so what I'm going to have to do is factor that out now I'm completing the square I only like to factor out of the first two terms, so I have y equals a negative one times x squared minus 6x plus 11 all right now I'll talk about again completing my perfect square and what we're going to do but as long as it my a now is equal to one I'm all set over here I have to factor out a 5 it's all factor out of five, so I have y equals five times x squared plus two x plus one now again I'm only factoring out of these first two terms because I'm going to show you what I'm going to do is I'm going to now create alright and what we're going to do is we're gonna look at only my quadratic in my linear term so right now those are a by knowing what I'm going to do is I'm going to take those terms and creep make them into a perfect square trinomial, and I'll show you how so to do that what we're going to do is we're going to take B divided by 2 and then square it so in this case might be if we add ax squared plus BX plus C B is my coefficient of my linear term Sesame 4 divided by 2 squared well 4 divided by 2 is 2 2 squared is equal to 4 here might be divided by 2 is going to be negative 6 divided by 2 squared well negative 6 divided by 2 is negative 3 negative 3 squared equals 9 here I'm...
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