Question

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

Answer 1

A.

Explanation:

Just did it

Answer 2

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

`y=a(x-h)^2+k` ...(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

`y=a(x-h)^2+v`

The required equation of the parabola is
`y=a(x-h)^2+v`.

Therefore, the correct option is A.