Find an equation for the ellipse described.
-Center at $( 0,0 )$; focus at $( - 3,0 )$; vertex at $( 4,0 )$
A) $\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 16 } = 1$

B) $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 7 } = 1$

C) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 16 } = 1$

D) $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 48 } = 1$

Question

Find an equation for the ellipse described.
-Center at $( 0,0 )$; focus at $( - 3,0 )$; vertex at $( 4,0 )$
A) $\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 16 } = 1$

B) $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 7 } = 1$

C) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 16 } = 1$

D) $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 48 } = 1$

Quizplus · Accepted Answer

The ellipse is horizontal with center at (0,0), vertex at (4,0) giving $a=4$, and focus at (-3,0) giving $c=3$. Using $b^2 = a^2 - c^2$, we find $b^2 = 16 - 9 = 7$. The equation is $\frac{x^2}{16} + \frac{y^2}{7} = 1$.

Find an Equation for the Ellipse Described (0,0)( 0,0 )(0,0) ; Focus At

Find an Equation for the Ellipse Described $( 0,0 )$ ; Focus At