NDA 2024 Maths · Mathematics · Conic Sections · medium

The vertex of the parabola y=x^2-6x+11 is

Single correct option

The vertex of the parabola

y=x^2-6x+11

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Answer: (D) $(3,2)$

Complete the square:

y=(x-3)^2+2

, so the vertex is

(3,2)

. Alternatively the vertex has

x=-\frac{b}{2a}=3

and

y=9-18+11=2

. Trap:

(-3,2)

takes the sign of

x-3

literally,

(3,11)

reads the constant term as the ordinate, and

(6,11)

ignores the completion of the square entirely.

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