Select the correct equation of the following graph.
A) $\frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 49 } = 1$
B) $\frac { y ^ { 2 } } { 49 } - \frac { x ^ { 2 } } { 16 } = 1$
C) $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 49 } = 1$
D) $\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 49 } = 1$
E) $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 49 } = 1$

Question

Select the correct equation of the following graph.​  ​
A) $\frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 49 } = 1$ 
B) $\frac { y ^ { 2 } } { 49 } - \frac { x ^ { 2 } } { 16 } = 1$ 
C) $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 49 } = 1$ 
D) $\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 49 } = 1$ 
E) $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 49 } = 1$

Quizplus · Accepted Answer

The graph appears to have a horizontal asymptote at y = 3 and a vertical asymptote at x = 2. The only equation that matches these features is option B, which is 
y = 3 + 4/((x-2)^2 + 1)

Select the Correct Equation of the Following Graph y216+x249=1\frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 49 } = 116y2​+49x2​=1

Select the Correct Equation of the Following Graph $\frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 49 } = 1$