
OPM Benefits Administration Letter 1998-2025 free printable template
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Alright welcome so here I have what is the standard form of a quadratic function and I guess I could write that right, so the standard form of a quadratic function is simply this f of X equals a times X minus H squared plus K and if you look at the definition of a quadratic look something like this so how do I go from here to here well I have other videos on that we usually we're going to be working with completing the square to get us to this point, but it's important if I go from here to here or if I'm just given a quadratic in this form it's important for us to understand that that's the standard form because it's going to tell us a couple of things about our parabola first and most important why we love the standard form is it tells us exactly what the vertex is the vertex is going to be h comma K and notice how that's X opposite of H and here is just H all right so when I have remembered that those are going to be kind of opposite signs of each other but k are going to be the exact same, so the vertex see here we don't have to use the formula opposite of b over 2 divided by 2a and then plug that back into the formula for here always simply can do is when we have it in this formula we can just determine what H and K are, and then we're all good, so that's also what's helpful with a standard form the other way is just like on the original definition is if an is greater than 0 our parabola opens up and if an is less than zero our parabola opens down so there you go ladies and gentlemen that's your scanner form of your equation I hope it helped thanks for watching you
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