Question 250604
Here is your original equation: y = 5 ^x-3.
Let's create a table of values:
x . . . -3 . . . . -2 . . . . -1 . . . .0 . . . . .1 . . . . .2 . . . . .3
y . . (-2.992) . . (-2.96) . .(-2.8) . (-2) . . . 2 . . . . .22 . . . . 122.

There is a horizontal asymptote at Y = -3.