Question

identify the type of conic section that has the equation 16x^2+4y^2=16 and identify its domain and range.

Answer 1

The type of conic section that has the equation 16x^2+4y^2=16 would be an ellipse having a domain: {–1 ≤ x ≤ 1} and a range: {–2 ≤ y ≤ 2}. The general equation for an ellipse would be 

x^2/a^2 + y^2/b^2 = 1

Hope this answers the question. Have a nice day.