Carolinaaaaa
Carolinaaaaa Carolinaaaaa
  • 04-05-2017
  • Mathematics
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What is the vertex of f(x)=-2x^2+20x-7

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saya
saya saya
  • 04-05-2017
We have to convert this equation (which is called as standard form) into vertex form. We can do that by completing the square.
f(x) is also known as y, so I will make y equal to 0.

[tex]y= -2x^{2} +20x-7[/tex]

[tex]7=-2 x^{2} +20[/tex]

[tex]107=(x+5) ^{2} [/tex]

[tex]0=(x+5)^{2}-107[/tex]

And so the vertex would be (-5, -107)
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bcalle
bcalle bcalle
  • 05-05-2017
You can use the formula
x = -b/2a
After finding x, plug it back in to the function to find y.
x = -20/-4 x= 5
y = -2(5)^2+20(5)-7
y = -50+100-7
y = 43
(5,43)
Answer Link

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