Question

Which of the following equations will produce the graph shown below?

Answer 1

The answer is the first one.

Explanation:

What helped me figure this out was going to desmos.com which is a great site for graphing. If you put in the equations this should help you find the answer. I hope this helps love! :)

Answer 2

Answer: A.
`(x^2)/(100)+(y^2)/(64)=1`

Explanation:

The equation of ellipse centered at origin is when the horizontal major axis (2a) and verticel minor axis (2b) is the major axis :-

`(x^2)/(a^2)+(y^2)/(b^2)=1`

From the given picture ,
`a=10`

`b=8`

Now, the equation of the given ellipse :-

`(x^2)/((10)^2)+(y^2)/((8)^2)=1\\\\\Rightarrow\ (x^2)/(100)+(y^2)/(64)=1`