SOLUTION: Let g(x)=x^2+x-6 a) find the vertex of the graph of g(x)

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Question 319053: Let g(x)=x^2+x-6
a) find the vertex of the graph of g(x)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square and put the equation in vertex form, y=a%28x-h%29%5E2%2Bk, where (h,k) is the vertex.
g%28x%29=x%5E2%2Bx-6
g%28x%29=%28x%5E2%2Bx%2B1%2F4%29-6-1%2F4
g%28x%29=%28x%2B1%2F2%29%5E2-24%2F4-1%2F4
g%28x%29=%28x%2B1%2F2%29%5E2-25%2F4
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(h,k)=(-1%2F2,-25%2F4)
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graph%28300%2C300%2C-10%2C5%2C-10%2C5%2Cx%5E2%2Bx-6%2C%28x%2B1%2F2%29%5E2-25%2F4%29