Match the equation of the ellipse with the appropriate description.
-$$\frac { x ^ { 2 } } { 4 } = 1 - \frac { y ^ { 2 } } { 16 }$$
A) $x$-intercepts $( 4,0 ) , ( - 4,0 )$; y-intercepts $( 0,2 ) , ( 0 , - 2 )$
B) $x$-intercepts $( 2,0 ) , ( - 2,0 )$; y-intercepts $( 0,4 ) , ( 0 , - 4 )$
C) $x$-intercepts $( 4,0 ) , ( - 4,0 )$; y-intercepts $( 0,16 ) , ( 0 , - 16 )$
D) x-intercepts $( 16,0 ) , ( - 16,0 )$; y-intercepts $( 0,4 ) , ( 0 , - 4 )$

Question

Quizplus · Accepted Answer

The given equation can be rewritten as $\frac{x^2}{4} + \frac{y^2}{16} = 1$, which is the standard form of an ellipse with semi-major axis 4 along the y-axis and semi-minor axis 2 along the x-axis. Thus, the x-intercepts are $(2,0)$ and $(-2,0)$, and the y-intercepts are $(0,4)$ and $(0,-4)$.

Match the Equation of the Ellipse with the Appropriate Description x24=1−y216\frac { x ^ { 2 } } { 4 } = 1 - \frac { y ^ { 2 } } { 16 }4x2​=1−16y2​

Match the Equation of the Ellipse with the Appropriate Description $\frac { x ^ { 2 } } { 4 } = 1 - \frac { y ^ { 2 } } { 16 }$