major axis vertical length 12, length of minor axis=8, center at (-4,6) . find the standard form of the equation of the ellipse

Question

tatuchka [14]

3 years ago

6

major axis vertical length 12, length of minor axis=8, center at (-4,6) . find the standard form of the equation of the ellipse

satisfying the coordinates

Mathematics

1 answer:

fomenos · Answer 1 · 2022-05-24T07:55:51+03:00

Where "a" and "b" are the semi-axis lengths in the x- and y-directions, respectively, the general form of the equation for an ellipse centered at (h, k) can be written as
(x-h)²/a² + (y-k)²/b² = 1

Substituting your given values of a=4, b=6, h=-4, k=6, your equation is
(x+4)²/16 + (y-6)²/36 = 1