Question

Given this transformation, find the period and any asymptotes in order to sketch it

Answer 1

Explanation

In this problem, we have the parent function f(x) = sec(x).

This function is transformed in the following way:

$f(x)\rightarrow g(x)=-2\cdot f(\frac{1}{4}x-\pi)+2.$

(1) Applying this transformation to the parent function f(x), we get:

$g(x)=-2\cdot sec(\frac{1}{4}x-\pi)+2.$

(2) Plotting this function in the interval -4π ≤ x ≤ 4π, we get the following graph:

Answer