SOLUTION: One last problem I'm having trouble with requires that I dtermine the co-ordinates of the lowest (minimum point on the curve) y(x) = -8x - 7 - x^2. I also need to prove the point

Algebra ->  Algebra  -> Graphs -> SOLUTION: One last problem I'm having trouble with requires that I dtermine the co-ordinates of the lowest (minimum point on the curve) y(x) = -8x - 7 - x^2. I also need to prove the point      Log On

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Question 195766: One last problem I'm having trouble with requires that I dtermine the co-ordinates of the lowest (minimum point on the curve)
y(x) = -8x - 7 - x^2.
I also need to prove the point is minimum.
Any help please.
Thanks, -nick
Answer by stanbon(57377) About Me  (Show Source):
You can put this solution on YOUR website!
dtermine the co-ordinates of the lowest (minimum point on the curve)
y(x) = -8x - 7 - x^2.
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x^2 + 8x = -y+7
Complete the square:
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x^2 + 8x + 16 = -y + 23
(x+4)^2 = -y + 23
y = -(x+4)^2 + 23
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The vertex occurs at (-4,23)
The vertex is not the minimum point, it is the maximum point.
graph%28400%2C300%2C-20%2C20%2C-10%2C30%2C-%28x%2B4%29%5E2+%2B+23%29
Cheers,
Stan H.