One of the common forms for quadratic functions is called vertex form, because it highlights the coordinates of the vertex of the function's graph.

All right, so you can imagine the form that I'm talking about is vertex form, where you can clearly spot the vertex. And the way we can do that is actually by completing the square.

The vertex is the lowest / highest point in the parabola, depending on whether the parabola opens up / down. The benefit of vertex form is that you can read the point directly from the equation.

In vertex form, you have an expression with x squared, and then you're multiplying by negative five right over here. This tells us that it's gonna be downward-opening.

Now, there's many ways to find a vertex. Probably the easiest, there's a formula for it. And we talk about where that comes from in multiple videos, where the vertex of a parabola or the x-coordinate of the …

Sal rewrites a quadratic equation in vertex form and shows how it reveals the vertex of the corresponding parabola. Created by Sal Khan and Monterey Institute for Technology and Education.

What is vertex form? Vertex form is another way of writing a quadratic equation. It looks like this: f (x) = a (x h) 2 + k , where a , h , and k are constants. The vertex form is particularly useful for graphing …

Different forms of quadratic functions reveal different features of those functions. Here, Sal rewrites f (x)=x²-5x+6 in factored form to reveal its zeros and in vertex form to reveal its vertex.

Sal finds the zeros, the vertex, & the line of symmetry of quadratic functions given in vertex form, factored form, & standard form.

Given a quadratic function that models a relationship, we can rewrite the function to reveal certain properties of the relationship. Factored form helps us identify the x-intercepts or zeros of the function.