Rewrite as y−k=a(x−h)2 or x−h=a(y−k)2. Find the vertex, focus, and directrix.
y−3=(2−x)^2

Given:

The given equation is

To find:

The vertex, focus, and directrix.

Solution:

The equation of a parabola is

    ...(i)

where, (h,k) is vertex, and directrix is

We have,

It can be written as

   ...(ii)

On comparing (i) and (ii), we get

Vertex of the parabola is (2,3).

Therefore, the focus of the parabola is .

Directrix of the parabola is

Therefore, the directrix of the parabola is .

i dont know sorry

step-by-step explanation:

ans789

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