For Which Value Of $x$ Does $7 x ^ { 2 } - 8 x + 14$

Multiple Choice

For which value of $x$ does $7 x ^ { 2 } - 8 x + 14$ reach a minimum? Restrict your attention to the horizontal span of 0 to 8.

A) 14
B) 11.71
C) 0.57
D) 0