Write an equation for the ellipse.
-$\mathrm { x }$-intercepts $\pm 6 ; \mathrm { y }$-intercepts $\pm 8$
A) $\frac { x ^ { 2 } } { 6 } + \frac { y ^ { 2 } } { 8 } = 1$
B) $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 36 } = 1$
C) $\frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 6 } = 1$
D) $\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 64 } = 1$

Question

Quizplus · Accepted Answer

The equation of an ellipse with x-intercepts $\pm a$ and y-intercepts $\pm b$ is $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$. Here, $a = 6$ and $b = 8$, so the equation is $\frac{x^2}{36} + \frac{y^2}{64} = 1$.

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

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