The equation of the tangent function with a period of, a phase shift ofto the left, and a vertical shift of 3 units up is.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to construct the equation of a transformed tangent function given specific transformations.
Key Concept Explanation
The general form of the tangent function is . The period is given by , the phase shift is given by , and the vertical shift is given by .
Step-by-step Solution
1. Determine the value of using the period: .
2. Determine the value of using the phase shift: (since the shift is to the left).
3. Determine the value of
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