Find the vertices and foci of the hyperbola with equation quantity x plus 4 squared divided by 9 minus the quantity of y plus 3 squared divided by 16 = 1.

Step-by-step explanation:

For a hyperbola of the form ...

The vertices are located at (h±a, k), and the foci are located at (h±c, k), where ...

Here, we have (h, k) = (-4, -3), a=3, b=4, and c=√(9+16) = 5.

So, the points of interest are ...