SOLUTION: Write the equation for the ellipse in standard form and general form.
center (3,-2), passing through (-4,-2), (10,-2), (3,1), and (3,-5)
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Question 1204632: Write the equation for the ellipse in standard form and general form.
center (3,-2), passing through (-4,-2), (10,-2), (3,1), and (3,-5)
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Write the equation for the ellipse in standard form and general form.
given:
center (,)=(,)
so far, equation is:
passing through (,), (,), (,), and (,)
use two points to calculate and
(,)
and (,)
equation is:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The center is given as (3,-2).
Two points on the ellipse are (-4,-2) and (10,-2); each of those is 7 units horizontally from the center.
Two other points are (3,1) and (3,-5); each of those is 3 units vertically from the center.
So the ellipse has a horizontal semi-major axis of length 7 and a vertical semi-minor axis of length 3.
Given that information, the equation in standard form is
Convert to general form by multiplying by (9*49=441), expanding the expressions in parentheses, and simplifying.
or
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