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anonymous

  • one year ago

Write the quadratic function in vertex form. y = x2 + 8x + 18

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  1. anonymous
    • one year ago
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    i know you have to Subtract 18 from both sides: y - 18 = x^2 + 8x Complete the square by adding 16 to both sides: y - 18 + 16 = x^2 + 8x + 16 y - 2 = x^2 + 8x + 16 Express x^2 + 8x + 16 in binomial square form: y - 2 = (x + 4)^2 Add 2 to both sides: y = (x + 4)^2 + 2

  2. anonymous
    • one year ago
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    You can use the vertex formula to figure out the max height: t=−b2a t=−6402(−16) t=20 Next you'll need to insert t = 20 into the given equation: h(20) = - 16(20)^2 + 640(20)

  3. anonymous
    • one year ago
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    then simplify the expression on the right to solve for h(20)

  4. anonymous
    • one year ago
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    how would you solve for h(20)

  5. anonymous
    • one year ago
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    h(20) = - 16(20)^2 + 640(20)

  6. anonymous
    • one year ago
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    @saseal

  7. anonymous
    • one year ago
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    how did it turn from t into h?

  8. anonymous
    • one year ago
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    i have no idea im using this

  9. anonymous
    • one year ago
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    http://openstudy.com/study#/updates/52586ec2e4b0ede9e4480f8b

  10. anonymous
    • one year ago
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  11. anonymous
    • one year ago
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    ok the general form of a parabola looks like this \[x^2=4py\] and the standard forms are the messy quadratic equations

  12. anonymous
    • one year ago
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  13. anonymous
    • one year ago
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    like that graph right?

  14. anonymous
    • one year ago
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    \[x^2+8x+18=0\]since you cant factorize this you need to complete the square\[x^2+8x=-18\]\[x^2+8x+(\frac{ 8 }{ 2 })^2=-18+(\frac{ 8 }{ 2 })^2\]\[x^2+8x+16=-18+16\]\[(x+4)^2=-2\]

  15. anonymous
    • one year ago
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    dont worry about that graph thing yet

  16. anonymous
    • one year ago
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    ok

  17. anonymous
    • one year ago
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    thank you

  18. anonymous
    • one year ago
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    @nono266

  19. anonymous
    • one year ago
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    you can understand it so far?

  20. anonymous
    • one year ago
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    kinda

  21. anonymous
    • one year ago
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  22. anonymous
    • one year ago
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    lol

  23. anonymous
    • one year ago
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    that means you dont understand...

  24. anonymous
    • one year ago
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    would it be - instead of the +

  25. anonymous
    • one year ago
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    \[(x+4)^2=-2\]\[(x+4)^2+2=0\]

  26. anonymous
    • one year ago
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    ugh yes!

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