Question

Write an equation of the following ellipse that satisfies the given set of conditions:
Major axis 16 units long and parallel to the y-axis, minor axis 14 units long, and center at (4,7).

Answer 1

do you know the standard equation of an ellipse?

Answer 2

yes

Answer 3

you pretty much have all values really

Answer 4

major axis is over the y-axis... so is a tall ellipse meaning the "a" component goes under the fraction with the "y" in it, thus \(\bf \cfrac{(x-h)^2}{b^2}+\cfrac{(y-k)^2}{a^2}=1\)

Answer 5

major axis => "a"
minor axis => "b"
center at (h, k) coordinates

Answer 6

ohh... shoot wait.. a sec

Answer 7

ok...so the whole major axis is... 16.... well...

Answer 8

major axis => "a+a"
minor axis => "b+b"
center at (h, k) coordinates