Question

The equation of an ellipse is x2/16 + y2/36= 1 , and the ellipse is centered at the origin. Find the vertices of the major axis and determine whether the ellipse has a horizontal or vertical major axis.

Answer 1

steps below

Explanation:

x²/16 + y²/36= 1

x²/4² + y²/6²= 1

Eclipse center ed origin: standard formula

²/radius of minor axis + y²/ radius of major axis =1

Vertices of major axis: (6 , 0) and (-6 , 0) ... horizontal

vertices of minor axis: (0 , 2) and (0 , -2) ... vertical