Question

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

Answer 1

ellipse; Domain: {-1≤y≤1}; Range: {-2≤y≤2}

Explanation:

Graph the equation. An ellipse has two lines of symmetry, the x-axis, and the y-axis. The domain is the set of all real numbers with x, written as -a ≤ x ≤ a. The range is the set of all real numbers with y, written as -b ≤ y ≤ b.