Graphing Sine and Cosine Answers
Question text not available
So, a is positivenegativezero.
The maximum value is and the
1
the function, |a|, is .
1
Complete the following to analyze the graph shown.The graph follows the pattern for the sine function: max-zero-min-zero-maxzero-max-zero-min-zerozero-min-zero-max-zeromin, zero, max, zero, min, starting at the origin.
Which graph shows a periodic function with an amplitude of 2?
Which graph has an amplitude of One-half ?
What is the range of y = sin(x)?
Which is the graph of y = 3sin(x) – 1?
Which is the graph of y = –cos(x) – 2?
Which of the functions is graphed?
Explain how the graph of y = –2sin(x) – 1 differs from the parent function. Make sure to compare key points used for graphing.
The graph is vertically stretched by a factor of 2, reflected over the x-axis, and shifted 1 unit down. The parent function has maximum 1, minimum −1, and amplitude 1, while the transformed graph has maximum 1, minimum −3, and amplitude 2. Its key points change from (0, 0), (π/2, 1), (π, 0), (3π/2, −1), (2π, 0) to (0, −1), (π/2, −3), (π, −1), (3π/2, 1), (2π, −1).
Maximum:
4
What is the range of y = 3sin(x)?
The midline is y = .
4
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