Find a trigonometric function that has this graph. Explain your reasoning.
The graph is translated right by so it has a minimum value at , then stretched horizontally so its period is 3 times greater than the period of . Find a trigonometric function that has this new graph. Explain your reasoning.
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Problem 4
Student Task Statement
The function is given by . The graph of is the graph of translated left by and translated vertically by -1. Which expression defines ?
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Problem 5
Student Task Statement
Here are graphs of trigonometric functions and . What transformations can be applied to the graph of to get the graph of ? Make sure to list them in the order they are applied.
The table shows the vertical position of a point at the tip of a windmill blade after the blade has rotated through different angles. The point starts at the location furthest to the right.
How long is the windmill blade? Explain how you know.
What is the height of the windmill? Explain how you know.