How to Graph in Vertex Form


Hi, I'm Rachel, and today we're going to be going over how to graph in vertex form. So when we write vertex form out, it looks like this, Y equals A times the quantity of X minus H quantity squared plus K and H, K in this case is the vertex. So let's look at a simple example where maybe A is 1 so we don't even have to write A and we're going to have X minus 1 quantity squared plus 2. So in this case we have the vertex is going to be 1, 2 right because that's H, K. So we have a graph here. We know that 1, 2 is going to be a point on the graph. Then we can plug in other points to find other points on the graph. So we have, let's plug in 0 for X. Y equals 0 minus 1 is going to be 1 right, negative 1 but quantity squared is 1 plus 2. So 1 plus 2 is 3. So we know that 0, 3 is a point on the graph. So that's 0, 3. Because we know this is a point and it's a parabola, we go across to make the other point right, because it's symmetrical and we know that this is what our parabola is going to look like. And that's an example of graphing from the vertex form. I'm Rachel and thank you for learning with me today.

Rachel Kaplove has worked as a professional private tutor since 2005. Specializing in Math and Science, she tutors students from the second grade level to advanced high school honors levels.