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lana [24]
3 years ago
8

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x) = 6 cos

x ; g(x) = cos x Vertical stretch by a factor of 6 Horizontal shrink by a factor of one-sixth Horizontal stretch by a factor of 6 Vertical shrink by a factor of one-sixth
Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

  Vertical stretch by a factor of 6

Step-by-step explanation:

Multiplying the function value by a constant moves its y-coordinate farther away from the x-axis by that factor. It causes a vertical stretch. Here, ...

  the vertical stretch factor is 6

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-- They're losing employees . . . so you know that the line will slope down, and
its slope is negative;

-- They're losing employees at a steady rate . . . so you know that the slope is
the same everywhere on the line; this tells you that the graph is a straight line.

I can see the function right now, but I'll show you how to go through the steps to
find the function.  I need to point out that these are steps that you've gone through
many times, but now that the subject pops up in a real-world situation, suddenly
you're running around in circles with your hair on fire screaming "What do I do ? 
Somebody give me the answer !".

Just take a look at what has already been handed to you:

0 months . . . 65 employees
1 month . . . . 62 employees
2 months . . . 59 employees

You know three points on the line !

(0, 65) ,  (1, 62) ,  and  (2, 59) .

For the first point, 'x' happens to be zero, so immediately
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is           <em>W(n) = 65 - 3n</em> .


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