1. Find the equation of a parabola with vertex at (1,5) and focus (-5.5).

2. Find the equation of an ellipse with endpoints of the minor axis (10,2) and (10,8) and major axis of length 24.

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- Aug 1st 2006, 09:17 AMBrookeHelp PLease!!
1. Find the equation of a parabola with vertex at (1,5) and focus (-5.5).

2. Find the equation of an ellipse with endpoints of the minor axis (10,2) and (10,8) and major axis of length 24. - Aug 1st 2006, 09:39 AMearbothQuote:

Originally Posted by**Brooke**

1. I assume that there is typo and you actually mean that the focus has the coordinates (-5,5).

2. The general equation of a parabola with axis parallel to the coordinate axis is:

$\displaystyle (y-y_V)^2=2\cdot p \cdot (x-x_V)$ where p is the distance between the focus and the directrix. So plug in the values you know and you'll get:

$\displaystyle (y-5)^2=2\cdot (-12) \cdot (x-1)$

3. The axises of the ellipse are parallel to the coordinate axises. The centre of the ellipse is thus M(10,5). So the endpoints of the major axis are at L(-2,5) and R(22,5)

Greetings

EB