SOLUTION: what is the vertex of the following math problem? {{{ y = -x^2 - 4x - 3

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Question 746432: what is the vertex of the following math problem? what+is+the+vertex+of+the+following+math+problem%3F+ y = -x^2 - 4x - 3
Found 2 solutions by stanbon, tommyt3rd:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y = -x^2 - 4x - 3
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The vertex occurs where x = -b/(2a) = 4/(-2) = -2
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f(-2) = -(-2)^2 - 4(-2) - 3 = -4+8-3 = 1
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vertex: (-2,1)
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C-x%5E2-4x-3%29
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Cheers,
Stan H.
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Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
++y+=+-x%5E2+-+4x+-+3++
has a=-1, b=-4, c=-3
We can use the vertex formula:

%0D%0Ax%5Bmax%5D=%28-b%29%2F%282a%29=%28-%28-4%29%29%2F%282%28-1%29%29=-2%0D%0A

and substitute to get y:


++y+=+-%28-2%29%5E2+-+4%28-2%29+-+3+=-4%2B8-3=1+

so our vertex is v(-2,1)