Asked by Anonymous
Find an equation of the ellipse satisfying the given conditions.
Center at (-2,3) with major axis of length 8 and parallel to the y axis, minor axis of length 2.
I don't understand how you get the formula for this. some help please
Center at (-2,3) with major axis of length 8 and parallel to the y axis, minor axis of length 2.
I don't understand how you get the formula for this. some help please
Answers
Answered by
Steve
you should know that an ellipse with center at (h,k) and axes 2a,2b is
(x-h)^2/a^2 + (y-k)^2/b^2 = 1
so, plug in your data. The only tricky part is knowing which are a and b. Since the major axis is parallel to the y-axis, (y-k)^2/b^2 will have the larger denominator.
(x+2)^2/1 + (y-3)^2/16 = 1
(x-h)^2/a^2 + (y-k)^2/b^2 = 1
so, plug in your data. The only tricky part is knowing which are a and b. Since the major axis is parallel to the y-axis, (y-k)^2/b^2 will have the larger denominator.
(x+2)^2/1 + (y-3)^2/16 = 1
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.