Question

What is an equation in standard form of an ellipse centered at the origin with vertex (-6,0) and co-vertex (0,4)

Answer 1

$\frac{x^{2} }{36}$ + $\frac{ y^{2}}{16}$ = 1

This is because the standard form of an ellipse is 

$\frac{ x^{2} }{ a^{2} }$ + $\frac{ y^{2} }{ b^{2} }$ = 1

where a is the vertex and b is the co-vertex. So when we stick their respective x and y values in and then square them, you're left with the answer above.