Write an equation for the ellipse.
-minor axis from $( - 3 , - 2 )$ to $( 1 , - 2 )$; major axis from $( - 1 , - 7 )$ to $( - 1,3 )$
A) $\frac { ( \mathrm { x } - 1 ) ^ { 2 } } { 4 } + \frac { ( \mathrm { y } - 2 ) ^ { 2 } } { 25 } = 1$
B) $\frac { ( x + 2 ) ^ { 2 } } { 4 } + \frac { ( y + 1 ) ^ { 2 } } { 25 } = 1$
C) $\frac { ( x + 1 ) ^ { 2 } } { 4 } + \frac { ( y + 2 ) ^ { 2 } } { 25 } = 1$
D) $\frac { ( x - 2 ) ^ { 2 } } { 4 } + \frac { ( y - 5 ) ^ { 2 } } { 25 } = 1$

Question

Quizplus · Accepted Answer

The center of the ellipse is at the midpoint of the major and minor axes, which is $(-1, -2)$. The length of the minor axis is 4, so $b^2 = 4$, and the length of the major axis is 10, so $a^2 = 25$. The equation is $\frac{(x + 1)^2}{4} + \frac{(y + 2)^2}{25} = 1$.

Write an Equation for the Ellipse (−3,−2)( - 3 , - 2 )(−3,−2)

Write an Equation for the Ellipse $( - 3 , - 2 )$