Write an equation for the ellipse.
-$\mathrm { x }$-intercepts $( \pm 6,0 ) ; \mathrm { y }$-intercepts $( 0 , \pm 3 )$
A) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 36 } = 1$
B) $\frac { x ^ { 2 } } { 6 } + \frac { y ^ { 2 } } { 3 } = 1$
C) $\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 9 } = 1$
D) $\frac { x ^ { 2 } } { 3 } + \frac { y ^ { 2 } } { 6 } = 1$

Question

Quizplus · Accepted Answer

The equation of an ellipse is $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, where $2a$ and $2b$ are the lengths of the major and minor axes, respectively. The x-intercepts $(\pm 6,0)$ indicate that $a = 6$, and the y-intercepts $(0, \pm 3)$ indicate that $b = 3$. Thus, the equation is $\frac{x^2}{36} + \frac{y^2}{9} = 1$.

Write an Equation for the Ellipse x\mathrm { x }x -Intercepts (±6,0);y( \pm 6,0 ) ; \mathrm { y }(±6,0);y

Write an Equation for the Ellipse $\mathrm { x }$ -Intercepts $( \pm 6,0 ) ; \mathrm { y }$