Answer:
Explanation:
Notice: The first vertex (0, 4) is further from the origin than is the second vertex (3, 0), in the y-direction and the x-direction, respectively.
The standard equation of an ellipse with center at the origin is
x² y²
------ + ------ = 1
a² b²
and a represents the greater distance from the origin to one covertex or the other. In this case we let a = 4 and b = 2. Then we have:
y² x²
---- + ------ = 1 which is the equation of this ellipse in final
4² 3² finished form.