Explanation
In this problem, we have the parent function f(x) = sec(x).
This function is transformed in the following way:
[tex]f(x)\rightarrow g(x)=-2\cdot f(\frac{1}{4}x-\pi)+2.[/tex]
(1) Applying this transformation to the parent function f(x), we get:
[tex]g(x)=-2\cdot sec(\frac{1}{4}x-\pi)+2.[/tex]
(2) Plotting this function in the interval -4π ≤ x ≤ 4π, we get the following graph:
Answer
