1) 2p = -2.
4p [ y - k ] = [ x - h) ]² --- > - 4 [ y + 5 ] = [ x + 5 ]²
2) 4p (y - k) = (x - h)^2
(h , k) is the vertex
The vertex is halfway between the focus and the directrix (when they're at their closest)
p is that distance
2 - 1 = 1
4p = 1
p = 1/4
(1/4) (y - k) = (x - h)^2
y - k = 4 (x - h)^2
The vertex is at (6 , 3/2), since that's midway between (6 , 1) and (6 , 2)
y - 3/2 = 4 (x - 6)^2
y = (3/2) + 4 (x - 6)^2
4) f(x) = (-1/16)(x²)
5) f(x) = −1/4 x2 − x + 5