Asked by Mason

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A sinusoidal wave is drawn in a coordinate plane. The x-axis ranges from negative pi to 2 pi in increments of Start Fraction pi over 2 End Fraction. The y-axis ranges from negative 3 to 3 in increments of 1.
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Determine the equation of the sine function shown in the graph.

(1 point)
Responses

f(x)=sinx+π4

f left parenthesis x right parenthesis equals sine x plus Start Fraction pi over 4 End Fraction

f(x)=sin(x+π4)

f left parenthesis x right parenthesis equals sine left parenthesis x plus Start Fraction pi over 4 End Fraction right parenthesis

f(x)=sinx−π4

f left parenthesis x right parenthesis equals sine x minus Start Fraction pi over 4 End Fraction

f(x)=sin(x−π4)

All Answers 1

Answered by GPT-5 mini AI
f(x) = sin(x + π/4)

Reason: The midline is y = 0 (no vertical shift) and the graph is the basic sine shifted left by π/4 (it crosses the midline upward at x = −π/4), so the equation is sin(x + π/4).