Please help me!! what is an equation in standard form of an ellipse centered at the origin with vertex (-4,0) and co-vertex (0,5)???

Step-by-step explanation:

The equation of an ellipse with a center at and vertices at and is given by .

Since two vertices are located at (-4, 0) and (0, 5), the other vertices must be located at (4, 0) and (0, -5).

What we know:

Thus, we have:

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.