Posted by Jake on Thursday, April 22, 2010 at 8:19pm.
we could complete the square
f(x)=x^2+6x+5
= x^2 + 6x + 9 - 9 + 5
= (x+3)^2 - 4
so the vertex is (-3,-4), so you were right
short-cut way:
the x of the vertex is -b/(2a) = -6/2 = -3
f(-3) = 9 - 15 + 5 = -4
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