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.

Instead, we may use the fact that quadratics are symmetrical (have an axis of symmetry) and the vertex is just the middle! So, the vertex's x-coordinate can be found as the midpoint of the 2 x-intercepts.

Once you've graphed the vertex, move 1 unit to the left and right of the vertex to get two new "x" values to find more points to complete your graph. For each new value of "x", you use it in the equation and …

The benefit of having the vertex is that you know the highest / lowest point in the graph and you know the graph will be symmetrical as it moves away from the vertex.

Graphs of quadratic functions all have the same shape which we call "parabola." All parabolas have shared characteristics. For example, they are all symmetric about a line that passes through their …

The question is set up in a way that we want the vertex form of the quadratic function, because it has asked us for the minimum (lowest value) and when it occurs.

An example for a quadratic function in factored form is y=½ (x-6) (x+2). We can analyze this form to find the x-intercepts of the graph, as well as find the vertex.

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 …

1) Find the vertex point by converting the equation to vertex form, or by using the formulas to calculate the coordinates of the vertex: X = -B/ (2A) and Y = (4AC-B^2)/ (4A).

Learn how you can find the range of any quadratic function from its vertex form.