catherinebaohup3hto6 catherinebaohup3hto6

13-05-2018
Mathematics

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Rewrite each relation in the form y = a(x - h)^2 + k by completing the square

Rewrite each relation in the form y ax h2 k by completing the square class=

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18-05-2018

Use:[tex](*)\ (a\pm b)^2=a^2\pm2ab+b^2[/tex]
[tex]a)\\y=x^2+6x-1=\underbrace{x^2+2\cdot x\cdot3+3^2}_{(*)}-3^2-1=(x+3)^2-9-1=(x+3)^2-10[/tex]

[tex]b)\\y=x^2-6x-4=\underbrace{x^2-2\cdot x\cdot3+3^2}_{(*)}-3^2-4=(x-3)^2-9-4=(x-3)^2-13[/tex]

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