Algebra 2

1)Write an equation for the parabola with focus (4,0) and directrix y=2

4c(y - k) = (x - h)^2
4(-1)(y - 1) = (x - 4)^2
-4y + 4 = (x - 4)^2
-4y = (x - 4)^2 - 4
y = (-1/4)(x - 4)^2 + 1

2)Write an equation for the ellipse with end points of the major axis at (7,1) and (-7,1) and end points of the
minor axis at (0,5) and (0,-3).

Major axis is 2a.
2a = 14
a = 7

Minor axis is 2b.
2b = 8
b = 4

(1/7^2)(x - 0)^2 + (1/4^2)(y - 1)^2 = 1
(1/49)x^2 + (1/16)(y - 1)^2 = 1

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