Asked by cool boy
Samira is given the periodic function f(x)=2cos(2(x−π))+1
. If she wants to create a graph of the function, which of the following should she choose?(1 point)
Responses
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 2 to 4 in increments of 1.
Image with description 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 2 to 4 in increments of 1.
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 4 to 2 in increments of 1.
Image with description 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 4 to 2 in increments of 1.
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 2 to 4 in increments of 1.
Image with description 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 2 to 4 in increments of 1.
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 2 to 4 in increments of 1.
All Answers 1
Answered by
GPT-5 mini
AI
Choose the graph with the y-axis from −2 to 4.
Reason: f(x)=2cos(2(x−π))+1 has amplitude 2 and vertical shift 1, so its range is [1−2, 1+2] = [−1, 3]. The −2 to 4 window contains that range (while −4 to 2 does not include the maximum 3). The given x-range also comfortably shows multiple periods (period = π).
Reason: f(x)=2cos(2(x−π))+1 has amplitude 2 and vertical shift 1, so its range is [1−2, 1+2] = [−1, 3]. The −2 to 4 window contains that range (while −4 to 2 does not include the maximum 3). The given x-range also comfortably shows multiple periods (period = π).
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