Question

Identify the type of conic section that has the equation 9x2+ 16y2 = 144 and identify its domain and range.

Answer 1

9 x² + 16 y² = 144  /:144
$\frac{ x^{2} }{16} + \frac{ y^{2} }{9} =1$
General formula of ellipse ( the center is at the origin ):$\frac{ x^{2} }{ a^{2} }+ \frac{ y^{2} }{ b^{2} } =1$ 
a² = 16,  b² = 9
Domain: [-a, a ] = [-4, 4]
Range:[-b, b ]
Answer: B ) ellipse.
Domain: { -4 ≤ x ≤ 4 }
Range: { -3 ≤ y ≤ 3 }