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## Answers

There are 2 kinds of equations for the parabola and in your case, your parabola is facing upward and the equation for a parabola facing upward is,

(x-h)^2=4a(y-k).

Your h and your k are the coordinates of your vertex. (3,2)=(h,k)

Therefore, from the equation, you get:

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

Your focus is equivalent to (h,k+a) so to get a,

you subtract k from k+a.

So:

K=2 k+a=4

a=

4 - 2 = 2

Therefore: (x-3)^2=4(2)(y-2) (substitute)

X^2-6x+9= 8y-16 (simplify)

X^2-6x-8y+25=0 (standard form)