Difference between revisions of "CompleteSquare Command"
From GeoGebra Manual
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− | ;CompleteSquare[ <Quadratic Function | + | ;CompleteSquare[ <Quadratic Function> ] |
− | :Returns quadratic function ''f'' in form <math>a(x-h)^2+k</math>. | + | :Returns the quadratic function in vertex form: <math>a(x-h)^2+k</math>. |
+ | :{{example|1=<code>CompleteSquare[x^2 - 4x + 7]</code> yields the function ''f''(x) = (''x'' - 2)<sup>2</sup> + 3.}} | ||
+ | ==CAS Syntax== | ||
+ | ;CompleteSquare[ <Quadratic Function> ] | ||
+ | :Returns the quadratic function in the form: <math>a(x-h)^2+k</math>. | ||
+ | :{{example|1=<code>CompleteSquare[x^2 - 4x + 7]</code> yields (''x'' - 2)<sup>2</sup> + 3.}} |
Revision as of 11:01, 24 June 2013
- CompleteSquare[ <Quadratic Function> ]
- Returns the quadratic function in vertex form: a(x-h)^2+k.
- Example:
CompleteSquare[x^2 - 4x + 7]
yields the function f(x) = (x - 2)2 + 3.
CAS Syntax
- CompleteSquare[ <Quadratic Function> ]
- Returns the quadratic function in the form: a(x-h)^2+k.
- Example:
CompleteSquare[x^2 - 4x + 7]
yields (x - 2)2 + 3.
Comments
Article Completing the square on wikipedia shows how can this be useful in describing and plotting quadratic functions.