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Alina [70]
3 years ago
6

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

Mathematics
2 answers:
Ulleksa [173]3 years ago
6 0
Third picture or answer c. 
earnstyle [38]3 years ago
4 0

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.

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