I frequently find myself lost with concepts in math, and even looking at some problems is an anxiety trip.
I have several questions on a test, all vaguely revolving around the same concept, but I'm not sure how to make sense of them. Could someone explain how to complete these problems and graph them?
The "sine tool" that it mentions is just a graph provided to make the points on, unfortunately I cannot create links or images.
I'm not necessarily looking for someone to "do my homework for me," but would appreciate someone walking me through each of these problems so I can see how the concepts apply to each of them. I appreciate any help.
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1. A sine function has the following key features:
Frequency = 1/4π
Amplitude = 2
Mid-line: y = 2
y-intercept: (0, 2)
The function is not a reflection of its parent function over the x-axis.
Use the sine tool to graph the function. The first point must be on the mid-line and the second point must be a maximum or minimum value on the graph closest to the first point."
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2. A sine function has the following key features:
Period = 4
Amplitude = 3
Mid-line: y=−1
y-intercept: (0, -1)
The function is not a reflection of its parent function over the x-axis.
Use the sine tool to graph the function. The first point must be on the mid-line and the second point must be a maximum or minimum value on the graph closest to the first point.
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3. A sine function has the following key features:
Period = π
Amplitude = 2
Mid-line: y=−2
y-intercept: (0, -2)
The function is a reflection of its parent function over the x-axis.
Use the sine tool to graph the function. The first point must be on the mid-line and the second point must be a maximum or minimum value on the graph closest to the first point.
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4. A researcher observes and records the height of a weight moving up and down on the end of a spring. At the beginning of the observation the weight was at its highest point. From its resting position, it takes 12 seconds for the weight to reach its highest position, fall to its lowest position, and return to its resting position. The difference between the lowest and the highest points is 10 in. Assume the resting position is at y = 0.
Use the sine tool to graph the function. The first point must be on the mid-line and the second point must be a maximum or minimum value on the graph closest to the first point.
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5. At an ocean depth of 20 meters, a buoy bobs up and then down 2 meters from the ocean's depth. Four seconds pass from the time the buoy is at its highest point to when it is at its lowest point. Assume at x = 0, the buoy is at normal ocean depth.
Use the sine tool to graph the function. The first point must be on the mid-line and the second point must be a maximum or minimum value on the graph closest to the first point.
3 answers