Question 427115
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Hi
Ellipse:
4x^2 + 8y^2 = 32 
{{{x^2/8 + y^2/4 = 1}}}
 Standard Form of an Equation of an Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}}where Pt(h,k) is the center
 and a and b  are the respective vertices.. Distances from center.
Center is (0,0)
Vertices:  (sqrt(8),0) and (-sqrt(8),0)  AND (0,2) and (0-2)
foci: (2,0) and (-2,0)    c = {{{sqrt(8-4) = 2}}}
length of major axis is : 2sqrt(8)
length of minor axis is : 2*2 = 4
{{{drawing(300,300,   -10,10,-10,10,  arc(0,0,5.66,4),
 grid(1),
circle(-2, 0,0.4),
circle(2, 0,0.4),
graph( 300, 300, -10,10,-10,10))}}}