anonymous
  • anonymous
What is the vertex form of the equation? y=x^2+4x-3 Can you explain how to do this?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
To start off, let's factor out the two from 2x^2 + 4x. y = 2*(x^2 + 2x) - 3
anonymous
  • anonymous
Now, we need to complete the square for what is in the parenthesis, so that we can get something off the form (x-h)^2. y = 2*(x^2 + 2x + 1) - 3 BUT, we added a 1 in the parenthesis, which when multiplied by the two adds 2 to the right hand side, so we need to add 2 to the left hand side also, giving us:
anonymous
  • anonymous
y + 2 = 2*(x^2 + 2x + 1) - 3 y + 2 = 2*(x + 1)^2 - 3 y = 2*(x+1)^2 - 5 And there you go. :)

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anonymous
  • anonymous
thank u

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