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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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Answer:

B: 72

Step-by-step explanation:

Split the shape into separate rectangles! It will make the problem much easier. You can split it so that you will have a 12 x 3 rectangle and a 6 x 6 rectangle because you subtract 3 from 9 and subtract 6 from 12.

12 x 3 = 36

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36 + 36 = 72

Let me know if you're still confused!

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Answer: Table H would be the correct answer;

The rule of a function is that for each x-value given there can't be more than 1 y-value

<u>In Table F:</u>

x = -13, then y = -2

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x = -13, then y = 5

x = -13, then y = 7

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<u>In Table G:</u>

x = -6, then y = 3

x = -1, then y = -1

x = -1, then y = 5

x = 10, then y = -9

For the x-value -1, there are 2 different y-values, hence <em>this isn't a function.</em>

<u>In Table H:</u>

x = 1, then y = 4

x = 3, then y = 4

x = 7, then y = 4

x = 12, then y = 4

For each x-value, there is only 1 y-value, so <em>this is a function.</em>

<u>In table J:</u>

x = -9, then y = -7

x = -2, then y = -5

x = 0, then y = 0

x = 0, then y = 6

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Hope this helps!

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Just multiply the tops together and the bottoms together :)
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OLEGan [10]

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