Express (x-6)² + 2x in Standard Function Form

To solve this problem, we'll transform the given expression into standard quadratic form by expanding and simplifying:

• Step 1: Expand $(x - 6)^2$
  $(x - 6)^2 = x^2 - 12x + 36$
• Step 2: Add $2x$
  $f(x) = x^2 - 12x + 36 + 2x$
• Step 3: Simplify
  Combine like terms: $-12x + 2x = -10x$, resulting in the expression:
  $f(x) = x^2 - 10x + 36$

Therefore, the standard form of the function $f(x)$ is $x^2 - 10x + 36$. This corresponds to choice 1 in the given list.

Thus, the final solution is $f(x) = x^2 - 10x + 36$.