given the directrix of y = 6 and focus of (0, 4), which is the equation of the parabola?

The answer to your question is:    

x² = -8(y - 4)     or general equation      x² + 8y - 32 = 0

Step-by-step explanation:

Data

Directrix = y = 6

Focus = (0, 4)

p = 2

Formula

Vertical parabola equation (x - h)² = - 4p (y - k)

Process (see the picture attached)

                                            (x - 0)² = - 4(2) (y - 4)             Substitution

                                            x² = -8(y - 4)                           Simplify

                                            x² = -8y + 32

                                           x² + 8y - 32 = 0

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

1010: 3030

is it i think