68.0k views
2 votes
What is the equation of the following graph?

What is the equation of the following graph?-example-1
User Divakar R
by
7.0k points

1 Answer

6 votes

From the diagram, Vertex =(2,3)

So, (h,k)=(2,3)

So, h=2 and k=3

The equation of parabola is


(x-h)^(2)=4p(y-k)

p is the distance of directrix or focus from vertex.

As directrix is

y=8=k-p=3-p

So, 8=3-p

Let, us subtract 3 from both sides, we get

8-3=3-3-p

5=-p

or p=-5

So, h=2,k=3 and p=-5

So, the equation of parabola is


(x-2)^(2)=4(-5)(y-3)

Equation of graph is

(x-2)^2=-20(y-3)

User Harsha Basnayake
by
6.3k points