Question

Rewrite the equation in vertex form. y = x2 - 6x + 18 A) y = (x + 3)2 + 9 B) y = (x - 3)2 + 9 C) y = (x - 3)2 + 27 D) y = (x - 6)2 + 18

Answer 1

the answer is B

Explanation:

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Answer 2

`\large\boxed{B)\ y=(x-3)^2+9}`

Explanation:

`\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\h=(-b)/(2a),\ k=f(h)\\\\\text{We have the equation:}\ y=x^2-6x+18\\\\a=1,\ b=-6,\ c=18\\\\\text{Substitute:}\\\\h=(-(-6))/(2(1))=(6)/(2)=3\\\\k=f(3)=3^2-6(3)+18=9-18+18=9`