Question

Which of the following is the graph of the function y = 2.5sec(x – 5)? Thanks!

Answer 1

Third picture or answer c. 

Answer 2

Solution:

we are given with the function $y = 2.5sec(x-5)$

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 $y=secx$

As we know,

$f(x-c) \ \text{Shift the function by c units to the right}.$

So the parent function $y=secx$ gets shifted to right by 5 units.

$\text{The graph of the function a*f(x) gets stretched/squeezed by the factor of a }\\ \\ here \ \ a=2.5>1\\ \\ \text{Hence the parent function will gets squeezed by 2.5}$

The required plot of the function and parent function is attached.

The correct option has also been attached.