Question

Which of the following is the equation for the graph shown?

Answer 1

The Answer is A

Explanation:

The standard form equation for an ellipse is:

(x - h)² / a² + (y - k)² / b² = 1

So looking at the picture above you can see that the center of the ellipse is at the origin which is (0;0) making both h and k zero.

It is then observed that the x-intercepts are at 12 meaning a=12 and y- intercepts are at approximately square root of 95 which is 9.746... which are 'k'

So you can conclude by saying that:

x²/12² + y²/(sqrt of 95)² = 1

then giving you the answer of A which is:

x²/144 + y²/95 = 1