Problem
5. (MGSE9-12.A.CED.2, MGSE9-12.F.BF.1) Which equation is equivalent to \( f(x)= \) \( -3(x-2)^{2}+14 ? \) A. \( f(x)=-3 x^{2}+2 \) B. \( f(x)=-3 x^{2}+26 \) C. \( f(x)=-3 x^{2}-4 x+18 \) D. \( f(x)=-3 x^{2}+12 x+2 \)
Solution
Step 1 ：Expand the quadratic expression: \(f(x) = -3(x-2)^{2} + 14\)
Step 2 ：\(f(x) = -3(x^{2} - 4x + 4) + 14\)
Step 3 ：\(f(x) = -3x^{2} + 12x + 2\)
