1. **State the problem:** We need to find the value of the function $f(x) = 20x^2 - 18x - 25$ at $x = -1$. 2. **Write the formula:** The function is given by $$f(x) = 20x^2 - 18x - 25$$ 3. **Substitute $x = -1$ into the function:** $$f(-1) = 20(-1)^2 - 18(-1) - 25$$ 4. **Calculate each term:** $$20(-1)^2 = 20 \times 1 = 20$$ $$-18(-1) = +18$$ So, $$f(-1) = 20 + 18 - 25$$ 5. **Simplify the expression:** $$20 + 18 - 25 = (20 + 18) - 25 = 38 - 25 = 13$$ 6. **Final answer:** $$f(-1) = 13$$ Therefore, the correct choice is **B**.