SOLUTION: I need help with the following. Graph the Elipse {{{ 4x2+(y-2)^2=16 }}} I have already tried and cannot get it.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I need help with the following. Graph the Elipse {{{ 4x2+(y-2)^2=16 }}} I have already tried and cannot get it.      Log On


   

Question 681711: I need help with the following.
Graph the Elipse +4x2%2B%28y-2%29%5E2=16+
I have already tried and cannot get it.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Vertical Ellipse

%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2
+4x%5E2%2B%28y-2%29%5E2=16+.......both sides divide by 16
+4x%5E2%2F16%2B%28y-2%29%5E2%2F16=16%2F16+
+x%5E2%2F4%2B%28y-2%29%5E2%2F16=16, so you have

+%28x-0%29%5E2%2F4%2B%28y-2%29%5E2%2F16=16
b=2, a=4, h=0, and k=2

Center: (h, k)=(0, 2)
Vertices: (0, 2 ± 4) or
(0,4), (0,-4)
Co-vertices: (0 ± 2,+2) or (2,0), and (-2,0)
Length of Major Axis: 2a=8
Length of Minor Axis: 2b=4