Solution:
we are given with the function [tex] y = 2.5sec(x-5) [/tex]
The plot of the given function can be found by applying the shifting and stretching property to the graph of the parent function.
Here the parent function is [tex] y=secx\\ [/tex]
As we know,
[tex] f(x-c) \ \text{Shift the function by c units to the right}.\\
[/tex]
So the parent function [tex] y=secx\\ [/tex] gets shifted to right by 5 units.
[tex] \text{The graph of the function a*f(x) gets stretched/squeezed by the factor of a }\\
\\
here \ \ a=2.5>1\\
\\
\text{Hence the parent function will gets squeezed by 2.5}
\\ [/tex]
The required plot of the function and parent function is attached.
The correct option has also been attached.
