The vertex of parabola y^{2}-8 y-x+19=0 is

NIMCET 2011 Question Paper with solutions

Question : 18 of 120

Marks: +1, -0

The vertex of parabola

y^{2}-8 y-x+19=0

Solution:

Given equation is,

y^{2}-8 y-x+19=0

⇒ (y-4)^{2}=x-19+16

⇒(y-4)^{2}=x-3

Hence, the vertex is

(3,4)

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