Question

an ellipse has a vertex at (0,-5), a co-vertex at (-3,0), and a center at the origin. which is the equation of the ellipse in standard form?

Answer 1

Answer:

$\frac{x^{2} }{9} +\frac{y^{2} }{25} =1$

Step-by-step explanation:

a vertex at (0,-5), a co-vertex at (-3,0): major axis parallel to y axis

$\frac{x^{2} }{b^{2} } +\frac{y^{2}}{a^{2} } =1\\\frac{x^{2} }{(-3)^{2} } +\frac{y^{2}}{(-5)^{2} } =1\\\\\frac{x^{2} }{9 } +\frac{y^{2}}{25 } =1$