The equation of a parabola is given. y=
Here the value of 'a' = 18 and it is positive, it means the parabola opens up.
For vertical parabola the focus point is (h , k+p)
Where (h,k) is the vertex and p = (p is the distance between vertex and focus)
First we find vertex (h,k)
h =
a = 18 and b = 4
So h= =
=
Plug in -1/9 for x and find out k
k =
=
=
So vertex is (,
)
P = , we know a= 18
So p = =
Focus is ( h, k +p)
h = k =
and p =
k + P = +
Take common denominator 72
k + p = +
=
=
Focus point is ( ,
)
