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March 3, 2015

March 3, 2015

Posted by **jenn** on Monday, February 23, 2009 at 5:39pm.

- math -
**Reiny**, Monday, February 23, 2009 at 5:55pmcompleting the square:

C(x) = 0.28x^2 - 0.7x + 1

= .28[x^2 - 2.5x + .......] + 1

= .28[x^2 - 2.5x +**1.5625 - 1.5625**] + 1

=

=

= .28(x-1.25)^2 + .5625

take it from there, remember x is in thousands

- math -
**Damon**, Monday, February 23, 2009 at 5:55pm.28 x^2 - .7 x + 1 = y

divide both sides by .28

x^2 - 2.5 x + 3.57 = 3.57 y

x^2 - 2.5 x = 3.57 y -3.57

add 1.25^2 = 1.56 to both sides

x^2 - 2.5 x +1.56 = 3.57 y - 2.00

(x-1.25)^2 = 3.57 (y - .562)

so I get vertex at (1.25 , .562)

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