Final answer:
The function equivalent to g(K) = -k^2 + 6k- 9 is g(K) = (-k+3)(k+3).
Step-by-step explanation:
The function equivalent to g(K) = -k^2 + 6k- 9 is option B. g(K) = (-k+3)(k+3).
To find the equivalent function, we need to factor the quadratic expression -k^2 + 6k- 9. By factoring, we get (-k+3)(k+3), which matches option B.