Question

The graph of an ellipse is shown.

Answer 1

Answer:

D. y²/25 + x²/4 = 1

Step-by-step explanation:

Ellipse has a general equation of $\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} }=1$

We can see that the ellipse is stretched to 5 space in the y-axis. So our b-value is 5 giving us:

$\frac{y^{2} }{b^{2}}=\frac{y^{2} }{5^{2}}=\frac{y^{2} }{25}$

Then we also see that the ellipse is stretched 2 space in the x-axis, so our a-value is 2 giving us:

$\frac{x^{2} }{a^{2}}=\frac{x^{2} }{2^{2} }=\frac{x^{2} }{4}$

put the two together and we get

$\frac{x^{2} }{4}+\frac{y^{2} }{25}=1$

Answer 2

The answer is D. Good luck