Question

Please help!

Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4.
x^2/64 + y^2/4 =1
x^2/2 +y^2/8 =1
x^2/8 +y^2/2=1
x^2/4+y^2/64 =1

Answer 1

Explanation:

Use the standard form (x−h)2a2+(y−k)2b2=1 ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 . If the x-coordinates of the given vertices and foci are the same, then the major axis is parallel to the y-axis. Use the standard form (x−h)2b2+(y−k)2a2=1 ( x − h ) 2 b 2 + ( y − k ) 2 a 2 = 1 .