The vertex is (-9, -62).
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Y = X2 + 18X + 52 set to 0 X2 + 18X + 52 = 0 subtract 52 from each side X2 + 18X = - 52 now, halve the coefficient of the variable term (18), square it and add it to both sides X2 + 18X + 81 = - 52 + 81 now, factor on left and gather terms on right (X + 9)2 = 29 (X + 9)2 - 29 = 0 ---------------------------vertex form
x2-18x+81 = (x-9)(x-9) when factored
The vertex is at (-1,0).
9x2 - 18x + 99(x2 - 2x + 1)==========
(x+3)(x+15)