SOLUTION: Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics. vertex at (–5, 0) and co-vertex at (0, 4)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics. vertex at (–5, 0) and co-vertex at (0, 4)       Log On


   



Question 727427: Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.
vertex at (–5, 0) and co-vertex at (0, 4)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1. The standard form equation of an ellipse with a horizontal major axis with center at
, vertices at , and co-vertices at
is:

where
given: vertex at (-5,0) and co-vertex at (0, 4)

vertex (a%2Bh,k) ; so a%2Bh=-5 and k=0
co-vertex (h,b%2Bk) ; so h=0 and b%2Bk=4
if h=0 than a%2B0=-5...=>..a=-5 and -a=5
if k=0, than b%2B0=4.......or b=4 and -b=-4
so, your equation is:





graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E2%2F25+%2By%5E2%2F16+%3C=+1+%29