Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. E Find the standard form of the equation of the ellipse with the given characteristics. S (2.5) (3.3) Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. Vertices: (:i:7, 0); passes through the point (2, 1) E Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (0, 4), (6, 4); endpoints of the minor axis: (3, 6), (3, 2) Find the standard form of the equation of the ellipse with the given characteristics. Center: (1, 6); a = 2c; vertices: (1, 0), (1, 12) Find the center, vertices, foci, and eccentricity of the ellipse. ( x + 4 ) 2 + ( y - 8 ) 2 = 1 25/4 center ( x, y ) = vertices ( x, y ) = (smaller x-value) ( x, y ) = (larger x-value) foci ( x, y ) = (smaller x-value) ( x, y ) = (larger x-value) eccentricityIdentify the conic as a circle or an ellipse. Then find the center, radius, vertices, foci, and eccentricity of the conic (if applicable). ( x - 3) 2 + ( y - 1)2 = 1 49/36 49/36 center (x, y) = radiusIdentify the conic as a circle or an ellipse. Then find the center, radius, vertices, foci, and eccentricity of the conic (if applicable). x2 + y2 - 10x + 2y - 10= 0 center ( x, y) = radius