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Manipal MET2019MathematicsParabola

The equation of the parabola whose vertex is (-1,-2) , axis is vertical and which passes through the point (3,6) , is

Options

  1. Ax^2+2 x-2 y-3=0
  2. B2 x^2=3 y
  3. Cx^2-2 x+2 y-3=0
  4. Dx^2-2 x-2 y-3=0

Correct answer

A. x^2+2 x-2 y-3=0

Step-by-step solution

The equation of parabola whose vertex is (-1,-2) is (x+1)^2=4 a(y+2) which passes through (3,6) i.e. 16=4 a 8 a= 1 2 Required equation is (x+1)^2=2(y+2) or x^2+2 x-2 y-3=0

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