Difference between revisions of "CompleteSquare Command"

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(added example and cas syntax)
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{{command|algebra}}
 
{{command|algebra}}
 
;CompleteSquare[ <Quadratic Function> ]
 
;CompleteSquare[ <Quadratic Function> ]
:Returns the quadratic function in vertex form: <math>a(x-h)^2+k</math>.
+
:Returns the quadratic function in the 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.}}
+
:{{example|1=<div><code>CompleteSquare[x^2 - 4x + 7]</code> yields ''1 (x - 2)<sup>2</sup> + 3''.</div>}}
 
==CAS Syntax==
 
==CAS Syntax==
 
;CompleteSquare[ <Quadratic Function> ]
 
;CompleteSquare[ <Quadratic Function> ]
 
:Returns the quadratic function in the form: <math>a(x-h)^2+k</math>.
 
: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.}}
+
:{{example|1=<div><code>CompleteSquare[x^2 - 4x + 7]</code> yields ''(x - 2)<sup>2</sup> + 3''.</div>}}

Revision as of 14:55, 8 August 2013



CompleteSquare[ <Quadratic Function> ]
Returns the quadratic function in the form: a (x - h)^2 + k.
Example:
CompleteSquare[x^2 - 4x + 7] yields 1 (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.

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