Question: Given f(x) = -3x^2 + 4x + 10, find f(2).
1. **State the problem:** We are given the function $$f(x) = -3x^2 + 4x + 10$$ and need to find the value of $$f(2)$$.
2. **Formula used:** To find $$f(2)$$, substitute $$x = 2$$ into the function:
$$f(2) = -3(2)^2 + 4(2) + 10$$
3. **Calculate each term:**
$$-3(2)^2 = -3 \times 4 = -12$$
$$4(2) = 8$$
4. **Sum all terms:**
$$f(2) = -12 + 8 + 10$$
5. **Simplify:**
$$-12 + 8 = -4$$
$$-4 + 10 = 6$$
6. **Final answer:**
$$f(2) = 6$$