Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|
Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5
Required answer is f(x) = one fourth (x - 3)^2 + 5
Answer:
The distance is 9.21954445... or just 9.22
Combine like terms, you would get -1+9 which your answer would be 8
If you subtract x from each side, it says Y = -x .
That tells you that the slope of the graph is -1, and the y-intercept is zero.
The graph is a straight line, passing through the origin.
It slopes DOWN from left to right, at an angle of 45 degrees.
Independent, means the first event won't affect the second event.
The independent events would be :
A, B, E, F
