Question

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

• A.
• B.
• C.
• D. None of these

Answer 1

The correct option is A

Since the axis is vertical, the equation of the parabola would be of the form $X^2=4AY$
Since the vertex is (-1,2), the equation will be
$(x+1{)}^2=4a(y+2)$
To find a,
parabola passes through $(3,6)\Rightarrow 16=4a.8\Rightarrow a=\frac{1}{2}$
$\Rightarrow (x+1{)}^2=2(y+2)\Rightarrow x^2+2x-2y-3=0.$