Write an equation for the ellipse center (0,1), vertices (-2,0) and (2,0) and the minor axis points are (0,2) and (0,0)

Question

Please give step by step to get the equation answer

Answer 1

center at (0,1) means x² and (y-1)² on top.

vertices should be at (-2,1) and (-2,1), since they should be left and right of the center! i'll assume that was a typo. with 2 units from center to either vertex, a = 2 and therefore a² = 4.

minor axis points at (0,2) and (0,0) mean they are both 1 unit from the center at (0,1), so b = 1, b² = 1

therefore:

x²/4 + (y-1)²/1 = 1

Answer 2

a = 2; and b = (2 - 0)/2 = 1.

So, equation of ellipse: x²/4 + (y - 1)² = 1