To evaluate the expression \( 4x^2 - 2x + 1 \) when \( x = 2 \), we will substitute \( 2 \) for \( x \) in the expression.
- Substitute \( x \) with \( 2 \):
\[ 4(2)^2 - 2(2) + 1 \]
- Calculate \( (2)^2 \):
\[ (2)^2 = 4 \]
- Now substitute back:
\[ 4(4) - 2(2) + 1 \]
- Perform the multiplication:
\[ 16 - 4 + 1 \]
- Now, calculate \( 16 - 4 + 1 \):
\[ 16 - 4 = 12 \] \[ 12 + 1 = 13 \]
Thus, the value of \( 4x^2 - 2x + 1 \) when \( x = 2 \) is \( \boxed{13} \).