Difference between revisions of "CompleteSquare Command"

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(command syntax: changed [ ] into ( ))
 
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|algebra}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|algebra}}
;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=<div><code>CompleteSquare[x^2 - 4x + 7]</code> yields ''1 (x - 2)<sup>2</sup> + 3''.</div>}}
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:{{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=<div><code>CompleteSquare[x^2 - 4x + 7]</code> yields ''(x - 2)<sup>2</sup> + 3''.</div>}}
+
:{{example|1=<div><code>CompleteSquare(x^2 - 4x + 7)</code> yields ''(x - 2)<sup>2</sup> + 3''.</div>}}

Latest revision as of 12:39, 5 October 2017


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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