Question 1 of 10 Which equation describes a parabola that opens up or down and whose
vertex is at the point (h, v)?
O A. y= a(x- h)2 + v
O B. x= aly- n)2 + V
O c. x = aly - 1)2 + h
O D. y= a(x - 1)2 + 1

Given:

A parabola opens up or down and its vertex is at the point (h, v).

To find:

The equation of the parabola.

Solution:

A parabola opens up or down. It means it is a vertical parabola.

The vertex form of a vertical parabola is

            ...(i)

Where, a is constant and (h,k) is vertex.

The vertex of given parabola is at point (h,v). Putting h=h and k=v in (i), we get

The required equation of the parabola is .

Therefore, the correct option is A.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.