find the vertex of F(x)=2(x+10)^2+20

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25-03-2015
Mathematics

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find the vertex of F(x)=2(x+10)^2+20

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Since3122015idn Since3122015idn · Answer 1 · 2015-03-25T06:48:05-04:00

Since3122015idn Since3122015idn

25-03-2015

[tex]f(x)=2(x+10)^2+20\\f(x)=2(x^2+20x+100)+20\\f(x)=2x^2+40x+200+20\\f(x)=2x^2+40x+220\\f'(x)=4x+40=0\\4x=-40\\x=-10\\\\f(-10)=2((-10)+10)^2+20\\f(-10)=2(0)^2+20\\f(-10)=20\\(-10,20)[/tex]

The vertex of f(x) is at (-10, 20).

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