Question

What is the equation, in standard form, of a horizontal ellipse centered at (11, –6) with a major axis of length 16 and a minor axis of length 12?

Answer 1

standard form for a horizontal ellipse is: \(\large \frac{(x-h)^2}{a^2}+\frac{(x-k)^2}{b^2}=1 \)
where (h, k) is your center;
2a and 2b is the length of your major and minor axes, respectively.
in your example, (h, k) is (11, -6); a = 8; b = 6
now just plug those in to get your equation....