Test 4x^2+y^2=4 for symmetry

Question

for college algebra

Answer 1

Replace x with -x, simplify, and see if the equation is the same.

 

4(-x)² + y² = 4

 

Since we know that -x² and x² are equal, (-5)² and 5², for example, the equation is the same, so, yes, we have symmetry.