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.

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) (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 

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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