Answer:
The equation
represents the equation of the parabola with focus (-3, 3) and directrix y = 7.
Step-by-step explanation:
To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).
Using the distance formula
, we find that the distance between (x, y) is

and the distance between (x, y) and the directrix y = 7 is
.
On the parabola, these distances are equal so, we solve for y:

Add 3 1/2 and 2 1/3,
Firstly, find the common denominator. It is is 6
3 3/6 + 2 2/6
this gets you 5 5/6.
Take this away from 8:
8 - 5 5/6 = 2 1/6
So 2 1/6 of the board is left over.
7 = 14x - 42y
42y = 14x - 7
y = (14x - 7)/ 42
or we could write it as y = (1/3)x - 1/6