# Forum Thread: How to Change a Quadratic Equation from Standard Form to Vertex Form

Changing from standard form to vertex form-Quadratic Equations
Standard form = ax^2 +bx+c=y
Vertex form = a(x-h)^2 +k =y
The video gives step by step directions for converting from standard to vertex form.

Transcript

Let's try another one so you can see the pattern.
x^2 + 24x -1 = f(x)
Group the x's together x squared and 24x
push the 1 over which will become part of my k value. Part of the constant on the outside.

Now complete the square, take 24 and half it and square it So half of 24 is 12 and 12 squared is 144. We can't just 144 without subtracting 144 . Now group the first three terms together to make our perfect square. The perfect square it factors to is always the square root of what we just found. (the 144) and in the back we get negative 145 . Now we have our functions, so we can figure out our h and k. h is the opposite of what we see (-12) and k is the same sign as what we see, and there is your vertex that you can use to graph your quadratic equation. Hope this video was helpful.

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