(x+3)^2/4^2 + (y-2)^2/5^2

The location of the Foci are at:
a.(-3,-1) and (-3,-5)
b. (-3,2) and (-3,5)
c. (-3,-3) and (-3,7)
d. (-3,1) and (-3,-5)
I get (-3,2) and (-3,5) Am I correct?

Why did you label this "trig" ?

Your expression should be an equation if it is to represent either an ellipse or a hyperbola.
Should it be
....... = 1 ?

secondly, you have "bouncing exponents"
What is (x+3)^2/4^2 supposed to say?
the way you typed it, it would simplify to (x+3)

check and correct your typing.