Use the image to answer this question.

A sinusoidal curve passes through the points left parenthesis begin fraction pi over 8 end fraction comma 1 right parenthesis and left parenthesis begin fraction 9pi over 8 end fraction comma negative 1 right parenthesis.

Which function could result in the phase-shifted sine graph seen here?

(1 point)
Responses

g(x)=sin(x−π8)
sine left parenthesis x minus Start Fraction pi over 8 End Fraction right parenthesis

g(x)=sin(x−5π8)
sine left parenthesis x minus Start Fraction 5 pi over 8 End Fraction right parenthesis

g(x)=sin(x−13π8)
sine left parenthesis x minus Start Fraction 13 pi over 8 End Fraction right parenthesis

g(x)=sin(x)+π8

Based on the information given, the correct function that can result in the phase-shifted sine graph seen in the image is g(x)=sin(x−π/8).