Fine the directrix arid the focus of parabola x 22 12y 1S

Fine the directrix arid the focus of parabola. (x + 2)^2 = 12(y = 1)

Solution

The standard form is (x - h)² = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p

for our given problem,

p = 3, h = -2, k = -1

Focus = ( -2 , -1 + 3 ) = ( -2 , 2)

Directrix y = -1-3 = -4