Use the image to answer the question.
A waveform is graphed on a coordinate plane. The x-axis ranges from negative pi to Start Fraction 5 pi over 2 End Fraction in increments of Start Fraction pi over 2 End Fraction. The y-axis ranges from negative 1 to 3 in increments of 1.
Determine which function matches the given graph.
(1 point)
Responses
f(x)=sin(2(x−π4))+1
f left parenthesis x right parenthesis equals sine left parenthesis 2 left parenthesis x minus Start Fraction pi over 4 End Fraction right parenthesis right parenthesis plus 1
f(x)=−sin(2(x−π4))+1
f left parenthesis x right parenthesis equals negative sine left parenthesis 2 left parenthesis x minus Start Fraction pi over 4 End Fraction right parenthesis right parenthesis plus 1
f(x)=−sin(12(x−π4))+1
f left parenthesis x right parenthesis equals negative sine left parenthesis Start Fraction 1 over 2 End Fraction left parenthesis x minus Start Fraction pi over 4 End Fraction right parenthesis right parenthesis plus 1
f(x)=−sin(2(x+π4))+1
f left parenthesis x right parenthesis equals negative sine left parenthesis 2 left parenthesis x plus Start Fraction pi over 4 End Fraction right parenthesis right parenthesis plus 1
The function that matches the given graph is:
f(x)=sin(2(x−π/4))+1