Brian found 12-19 by breaking apart 19 into 12+7 write equations to show how brian could have found the difference. ?

Answer is  12-19 = -7

Step-by-step explanation:

12- 19 you can break 19  into 12 +7

then

it is easy to find  12-12 = 0

Now subtracts  0 - 7 =- 7

then

break 7 into 3 + 4

then

0 - 3 = -3

-3 - 4 = -7

So ,

12 - 19 = -7

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