Answer:
C. -(1/4)^x +5
Explanation:
Several bases are given here: 5, -5, 1/4 and 4. Immediately discard -5 (Choice B), as bases of exponential functions cannot be negative.
Next, recognize that the graph is that of a decaying exponential. The bases of decaying exponentials are between 0 and 1. Only (1/4) is in that category.
Thus, Answer C is correct.
If you'd like to verify this answer, graph y = (1/4)^x on your calculator. On the same screen, now graph -(1/4)^x. Finally, and again on the same screen, graph -(1/4)^x + 5.