write the equation of a hyperbola with vertices at (4,0) and (-4,0) and covertices at (0,5) and (0,-5)

x^2/16 - y^2/25  = 1

I don't understand this Chris, could you please explain it to me.

What is a covertice?

I did the graph.

I've not come across the term "covertices" before either Melody.  However, it is clear that they are the vertices of the hyperbola obtained by interchanging the signs of the x and y terms.  See graph below:

Thank you Alan and Chris,

I would not have had a clue about any of this question.

I am completely unfamiliar with graphs like these which actually surprises me.

I am only familiar with the diagonal hyperbolas with no squared terms.