(No need to graph unless want to)Determine the period and asymptotes please grade 12 trig

SOLUTION:
The parent function is;
[tex]f(x)=sec(x)[/tex]The transformation applied is;
[tex]y=-2f(\frac{1}{4}x-\pi)+2[/tex]Graphing this, we have;
The period is the time to complete a cycle .
From the graph, the period is;
[tex]8\pi[/tex]The asymptotes are those lines for which sec x is undefined. those are lines where;
[tex][/tex]