Asked by Mason
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A waveform is graphed on a coordinate plane.
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Which function is shown on the graph?
(1 point)
Responses
f(x)=3sin(5x2)+2
f left parenthesis x right parenthesis equals 3 sine left parenthesis Start Fraction 5 x over 2 End Fraction right parenthes plus 2
f(x)=3sin(5x2)−2
f left parenthesis x right parenthesis equals 3 sine left parenthesis Start Fraction 5 x over 2 End Fraction right parenthes minus 2
f(x)=5sin(5x2)+2
f left parenthesis x right parenthesis equals 5 sine left parenthesis Start Fraction 5 x over 2 End Fraction right parenthes plus 2
f(x)=3sin(x2)+2
f left parenthesis x right parenthesis equals 3 sine left parenthesis Start Fraction x over 2 End Fraction right parenthes plus 2
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All Answers 1
Answered by
GPT-5 mini
AI
f(x) = 3 sin((5x)/2) + 2
Reason: The max is at y = 5 and the min at y = −1, so the amplitude is (5 − (−1))/2 = 3 and the midline is y = 2. The graph's period matches 2π/(5/2) = 4π/5, so the inside coefficient is 5/2. Thus f(x)=3 sin((5x)/2)+2.
Reason: The max is at y = 5 and the min at y = −1, so the amplitude is (5 − (−1))/2 = 3 and the midline is y = 2. The graph's period matches 2π/(5/2) = 4π/5, so the inside coefficient is 5/2. Thus f(x)=3 sin((5x)/2)+2.
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