The equation of the tangent function with a period of, a phase shift ofto the left, and a vertical shift of 4 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 a transformed tangent function is . The period is given by , the phase shift by , and the vertical shift by .
Step-by-step Solution
1. Given the period is , solve for : .
2. Given the phase shift is to the left, (since it is to the left, the sign is negative).
3. Given the vertical shift is 4 units up,
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