What is y equals x2 18x plus 52 in vertex form?

Answer 1

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