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- https://math.libretexts.org/Courses/Las_Positas_College/Foundational_Mathematics/22%3A_Conics/22.04%3A_EllipsesIn the figure, we placed the ellipse so the foci ((−c,0),(c,0)) are on the x-axis and the center is the origin. Notice that when the major axis is horizontal, the value of a will be greate...In the figure, we placed the ellipse so the foci ((−c,0),(c,0)) are on the x-axis and the center is the origin. Notice that when the major axis is horizontal, the value of a will be greater than the value of b and when the major axis is vertical, the value of b will be greater than the value of a. The equation is (x−h)2a2+(y−k)2b2=1 and when a>b, the major axis is horizontal so the distance from the center to the vertex is a.
- https://math.libretexts.org/Courses/Coastline_College/Math_C045%3A_Beginning_and_Intermediate_Algebra_(Tran)/13%3A_Conics/13.04%3A_EllipsesIn the figure, we placed the ellipse so the foci ((−c,0),(c,0)) are on the x-axis and the center is the origin. Notice that when the major axis is horizontal, the value of a will be greate...In the figure, we placed the ellipse so the foci ((−c,0),(c,0)) are on the x-axis and the center is the origin. Notice that when the major axis is horizontal, the value of a will be greater than the value of b and when the major axis is vertical, the value of b will be greater than the value of a. The equation is (x−h)2a2+(y−k)2b2=1 and when a>b, the major axis is horizontal so the distance from the center to the vertex is a.
- https://math.libretexts.org/Courses/Mission_College/Math_C%3A_Intermediate_Algebra_(Carr)/08%3A_Conics/8.03%3A_EllipsesIn the figure, we placed the ellipse so the foci ((−c,0),(c,0)) are on the x-axis and the center is the origin. Notice that when the major axis is horizontal, the value of a will be greate...In the figure, we placed the ellipse so the foci ((−c,0),(c,0)) are on the x-axis and the center is the origin. Notice that when the major axis is horizontal, the value of a will be greater than the value of b and when the major axis is vertical, the value of b will be greater than the value of a. The equation is (x−h)2a2+(y−k)2b2=1 and when a>b, the major axis is horizontal so the distance from the center to the vertex is a.
- https://math.libretexts.org/Workbench/Intermediate_Algebra_2e_(OpenStax)/11%3A_Conics/11.04%3A_EllipsesThe equation is ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 and when a > b , a > b , the major axis is horizontal so the distance from the center to the vertex is a. If...The equation is ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 and when a > b , a > b , the major axis is horizontal so the distance from the center to the vertex is a. If we look at the equations of x 2 9 + y 2 4 = 1 x 2 9 + y 2 4 = 1 and ( x − 3 ) 2 9 + ( y − 1 ) 2 4 = 1 , ( x − 3 ) 2 9 + ( y − 1 ) 2 4 = 1 , we see that they are both ellipses with a = 3 a = 3 and b = 2 . b = 2 . So they will have the same size and shape.
