The equation of the tangent function with a period of, a phase shift ofto the right, and a vertical shift of 7 units up is.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to construct the equation of a transformed tangent function given its period, phase shift, and vertical shift.
Key Concept Explanation
The general form of the tangent function is . The period is given by , the phase shift by , and the vertical shift by .
Step-by-step Solution
1. Determine the value of from the period. Given the period is , we have . Solving for , we get , so .
2. Identify the phase shift . Given the phase shift is to the right,
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.