Answer
Ellipse

Work Step by Step
Given: $x^{2}+4y^{2}=16$
Divide both sides by $16$: $\frac{x^{2}}{16}+\frac{y^{2}}{16}=1$
$\frac{x^{2}}{4^{2}}+\frac{y^{2}}{2^{2}}=1$
which is the standard form of the equation of an ellipse.

You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.