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)
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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) (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:
^2}{a^2}\ +\ \frac{(y\ -\ k)^2}{b^2}\ =\ 1)
where 
given: vertex at (,) and co-vertex at (, )
vertex (,) ; so and
co-vertex (,) ; so and
if than ...=>.. and
if , than .......or and
so, your equation is:
^2}{5^2}\ +\ \frac{(y\ -\ 0)^2}{4^2}\ =\ 1)
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