SOLUTION: Obtain an equation of the conic descrIbed, Then graph by hand. Here is the problem: Ellipse, foci at (-4,2) and (-4,8), vertex at (-4,10) THANK YOU.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Obtain an equation of the conic descrIbed, Then graph by hand. Here is the problem: Ellipse, foci at (-4,2) and (-4,8), vertex at (-4,10) THANK YOU.      Log On


   

Question 441859: Obtain an equation of the conic descrIbed, Then graph by hand.
Here is the problem: Ellipse, foci at (-4,2) and (-4,8), vertex at (-4,10)

THANK YOU.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Ellipse, foci at (-4,2) and (-4,8), vertex at (-4,10) 

Major axis along x = -4  f = (8-2)/2 = 6/2 = 3 = sqrt(b^2-a^2) C(-4,5) b = 5

                                             3 = sqrt(25-a^2) a^2 = 16

Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+

where Pt(h,k) is the center and a and b  are the respective vertices distances from center.

  (x+4)^2/16 + (y-5)^2/25 = 1











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