anonymous
  • anonymous
PLEASE HELP!!! f(x) = x^2 + 4x − 1 in vertex form
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@Nurali
butterflydreamer
  • butterflydreamer
hint: you want to use completing the square ^_^
anonymous
  • anonymous
I don't know how to do that.

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butterflydreamer
  • butterflydreamer
|dw:1439905794934:dw| So now you want to plug b = 4 into the formula: \[(\frac{ b }{ 2})^{2} \] \[= (\frac{ 4}{ 2 }) ^2 = 2^2 = 4 \] Therefore to complete the square we have to add 4 \[f(x) = x^2 + 4x - 1 \] \[= (x^2 + 4x + 4) - 1 \] \[= (x + 2)^2 -1\]
butterflydreamer
  • butterflydreamer
oh oops. i made an error
butterflydreamer
  • butterflydreamer
Correction: f(x)=x2+4x−1 =(x2+4x+4)−1 - 4 We have to subtract 4 since we added 4 to complete the square =(x+2)^2−1-4 = (x + 2)^2 - 5
anonymous
  • anonymous
lol nice, you pretty much got the concept down right though butterfly.
anonymous
  • anonymous
thank you so much for explaining that for me :)
anonymous
  • anonymous
can you help me with another question?
anonymous
  • anonymous
Which of the following values "completes the square," or creates a perfect square trinomial, for x^2 + 6x + ___? a. 1 b.3 c. 6 d.9
butterflydreamer
  • butterflydreamer
use the formula i showed you above :) |dw:1439906543104:dw|
anonymous
  • anonymous
9
butterflydreamer
  • butterflydreamer
excellent :)
anonymous
  • anonymous
so the final result would be x^2 + 6x +9?
butterflydreamer
  • butterflydreamer
yyeess
anonymous
  • anonymous
thank you so much! :)
butterflydreamer
  • butterflydreamer
no problemo~ ^_^

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