An ellipse has vertex (0, 4), co-vertex (3, 0) and is centered at the origin. What is the equation for the ellipse?

Mathematics

1 answer:

yulyashka [42]3 years ago

5 0

Answer:

Step-by-step 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.

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