Learn how to graph any quadratic function that is given in vertex form. Here, Sal graphs y=-2 (x-2)²+5. Created by Sal Khan.

So, you graph the vertex and then find points to the left and right of the vertex. When Y is isolated already and the equation is in vertex form, it is easier to pick values of X and calculate Y …

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.

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).

Make sure you know how to graph quadratic functions that are given in vertex form f (x)=k (x-a)²+b, as a warmup to our exercise.

Graph quadratic functions that are given in the vertex form a (x+b)²+c. For example, graph y=-2 (x-2)²+5.

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.

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 …

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

Quadratic standard form Learn Finding the vertex of a parabola in standard form Graphing quadratics: standard form