The equation of the tangent function with a period of, a phase shift ofto the right, and a vertical shift of 5 units up is.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to construct the equation of a tangent function given its transformations.
Key Concept Explanation
The general form of the tangent function is , where:
- determines the period:
- determines the phase shift: (to the right if positive, to the left if negative)
- determines the vertical shift: (upward if positive, downward if negative)
Step-by-step Solution
1. Determine from the period: implies . Since is positive, .
2. Identify the phase shift:
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