anonymous
  • anonymous
Write the given function in vertex form by completing the square: y=x^2+9x+2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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myininaya
  • myininaya
Ok! So \[x^2+9x+k\] How do you find k so that this is a complete square?
myininaya
  • myininaya
\[x^2+9x+(\frac{9}{2})^2=(x+\frac{9}{2})^2\] This will always work if the coefficient of x^2 is 1 Just divide the number in front of x by 2 then square like I did above
myininaya
  • myininaya
Now back to finding the vertex form!

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myininaya
  • myininaya
\[y=x^2+9x+(\frac{9}{2})^2-(\frac{9}{2})^2+2\] Whatever I add in I must also take out
myininaya
  • myininaya
The form we are aiming for by the way is: \[y=a(x-h)^2+k\]
myininaya
  • myininaya
So You should be able to write that one part (x^2+9x+(9/2))^2) as a complete square which I at the beginning of this thread
myininaya
  • myininaya
And then all you have to do after simplify if you can such as the -(9/2)^2+2 part
anonymous
  • anonymous
thankyou!

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