Question

Which function is equivalent to g(K) = -k^2 + 6k- 9

A. 9(K) = -(k - 3)
B. g(K) = (-k+3)(k+3)
C. g(k) = -(k+3)
D. 9(K) = (-k - 3)(-k+3)

Answer 1

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.