SOLUTION: What is the vertex of function y=-x^2-5x-2?

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Question 360682: What is the vertex of function y=-x^2-5x-2?
Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
What is the vertex of function y=-x%5E2-5x-2?
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y=-%28x%5E2%2B5x%29-2 factor a -1 from the first two terms
y=-%28x%5E2%2B5x%2B25%2F4-25%2F4%29-2 add and subtract 25/4 to complete the square
y=-%28x%2B5%2F2%29%5E2%2B25%2F4-2
y=+-%28x%2B5%2F2%29%5E2%2B25%2F4-8%2F4=-%28x%2B5%2F2%29%5E2%2B17%2F4
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vertex x=-5/2, y=17/4