Question

The vertices and eccentricity of an ellipse centered at the origin of the xy-plane are given below. Find the ellipse's standard form equation in Cartesian coordinates Vertices: ( 070) Eccentricity: 0.1 The given ellipse has the equation (Type your answer in standard form)

Answer 1

a=70, # Since the vertices are at 60, † 70), the ellipse is vertical, the center is at the k) = (0,0) and The eccentaicity is е ulo 0.1 uli 0.1 C = 0.1X 70 C=7 c? = a²_b? a²-c² (70) ² (7) 2 4900 _49 2 3 b 4851 Since the ellipse is vertical, the equation is of the form – (24-h)? + (y=k)? b a² 2 th (31-0) 4851 + (4-0) (7092 x² + y? 4900 4851 Answer

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