6 Select the correct answer. What is the standard form of this function? \[ f(x)=-(x-4)^{2}+2 \] A. $f(x)=-x^{2}+4 x-30$ B. $f(x)=-x^{2}+8 x-14$ C. $f(x)=x^{2}+8 x-14$ D. $f(x)=x^{2}+4 x-30$ (c) 2023 Edmentum. All rights reserved.

Step 1 ：The standard form of a quadratic function is \(f(x) = ax^2 + bx + c\).

Step 2 ：To find the standard form of the given function, we need to expand the square and simplify the equation.

Step 3 ：Let's expand \((x - 4)^2\) to get \(x^2 - 8x + 16\).

Step 4 ：Substitute this into the function to get \(f(x) = - (x^2 - 8x + 16) + 2\).

Step 5 ：Simplify this to get \(f(x) = -x^2 + 8x - 14\).

Step 6 ：\(\boxed{f(x) = -x^2 + 8x - 14}\) is the standard form of the function.