![]() ![]() And so this is never going to be negative and we're multiplying it byĪ positive right over here. Here, if you square it, you're never going to ![]() ![]() The important thing to realize is that this part of the expression is never going to be negative. To appreciate the structure that's in this expression. How do we do that? Well, to do that, we just have To pick out the coordinates of this vertex from this form. Is called vertex form is it's fairly straightforward The vertex right over there and you have your y-coordinate of the vertex right over here. Parabola like this, the vertex is this point right over here. It might look something like this right over here. This one in particular is going to be an upward opening parabola, and so it might look something like this. If we're graphing y is equal to some quadraticĮxpression in terms of x, the graph of that will be a parabola, and it might be an upward opening parabola or a downward opening parabola. As you might remember from other videos, if we have a quadratic, One of these other forms to a vertex form in this video, we'll do that in future videos,īut what we're going to do is appreciate why this This is sometimes known as vertex form and we're not gonna focus on how do you get from And this last form is what we're going toįocus on in this video. Notice this has beenįactored right over here. This is the equation and sometimes called standardįorm for a quadratic. They've just beenĪlgebraically manipulated. It might not be obvious when you look at these three equations but they're the exact same equation. ![]()
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