How do you go from a quadratic function in...

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
Absolutely
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How do you go from a quadratic function in...

Postby Absolutely » Mon Apr 04, 2011 9:07 pm

generic form to the standard parabola form by completing the square?

I know that the vertex of a parabola (h, k) is and but I can't figure out how the first form gets to the second. I just want to know how the standard form is derived form the generic form by completing the square in a general way (meaning without numbers, just the letters to represent the constants); step-by-step please!

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Martingale
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Re: How do you go from a quadratic function in...

Postby Martingale » Mon Apr 04, 2011 10:27 pm

Absolutely wrote:generic form to the standard parabola form by completing the square? I know that the vertex of a parabola (h, k) is and but I can't figure out how the first form gets to the second. I just want to know how the standard form is derived form the generic form by completing the square in a general way (meaning without numbers, just the letters to represent the constants); step-by-step please!


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Absolutely
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Re: How do you go from a quadratic function in...

Postby Absolutely » Mon Apr 04, 2011 11:46 pm

Thanks! Seeing the algebraic manipulations behind these derivations makes the formulas more sensible to me.


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