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This video shows how you can find the vertex form of a quadratic equation from a graph. The content is relevant to topics in an Algebra 1 or Algebra 2 class.

The vertex form of a quadratic equation is y = a(x - h)^2 + k. In order to write the vertex form of a quadratic equation, you need to plug in numbers to the a, h, and k variables.

The vertex is at the point (h, k), so h and k can be found quickly by using the points found at the vertex. However, in order to find the a variable, you need one other point on the graph. The coordinates of the other point can be substituted in to the x and y values of the equation y = a(x - h)^2 + k. Then, by plugging in the h and k values as well, the only unknown value is a. By using a few algebraic steps you can solve for a.

Once the value for a is found, you can write the equation of y = a(x - h)^2 + k with numbers for a, h, and k, and you are done.

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