Question

Which of the following equations could be that of the ellipse graphed below?

Answer 1

Answer:

Option C

Step-by-step explanation:

Given is a graph of the ellipse.

Centre is at (6,5)

Vertices are found to be (14,5) (-2,5)

Hence $Major axis = 2a = 16a-8$

Other vertices are (6,0) and (6,10)

$2b=10\\b=5$

The ellipse is horizontal with major axis horizontal

Hence equaiton of the ellipse is

$\frac{(x-6)^2}{8^2} +\frac{(y-5)^2}{5^2} =1$

Option C is right answer

Answer 2

The best option is C
$\frac{(x - 6^2)}{8^2} + \frac{(y - 5^2)}{5^2} = 1$.