Write and equation of an ellipse in standard form with the center at the origin and a height of 4 units and width of 5 units. ** This is an equation of an ellipse with horizontal major axis of the standard form: (x-h)^2/a^2+(y-k)^2/b^2=1, With (h,k) being the (x,y) coordinates of the center. .. For given equation: Center: (0,0) (given)

length of horizontal major axis=5=2a a=5/2 a^2=25/4 length of minor axis=4=2b b=2 b^2=4 Equation: x^2/(25/4)+y^2/4=1 4x^2/25+y^2/4=1