Please help!! I do not understand this!

Answer: C
Step-by-step explanation:
Replace x with [tex]-\frac{2}{3}[/tex] and solve.
f(x) = 3x² - 6x - 1
f([tex]-\frac{2}{3}[/tex]) = 3([tex]-\frac{2}{3}[/tex])² - 6([tex]-\frac{2}{3}[/tex]) - 1
= 3([tex]\frac{4}{9}[/tex]) + 4 - 1
= [tex]\frac{4}{3}[/tex] + 3
= [tex]\frac{4}{3}[/tex] + [tex]\frac{9}{3}[/tex]
= [tex]\frac{13}{3}[/tex]