Question

If (0, 4) and (0, 2) are respectively the vertex and focus of a parabola. Then find its
equation.​

Answer 1

Answer:

Step-by-step explanation:

Answer : x2+8y−32=0

The coordinates of the vertex is (0,4)

The coordinates of the focus is (0,2)

It is clear that the vertex and the focus lies on the positive side of the y-axis.

Hence the curve is open downwards.

The equation of the form (x−h)2=4a(y−k)

(ie) (x−0)2=−4×2(y−4)

On simplifying we get,

x2=−8(y−4)

⇒x2=−8y+32

x2+8y−32 is the required equation of the parabola.              Reply please