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nordsb [41]
3 years ago
6

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x + 7|?

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0

Answer:

Graph of the function y=|x+7| is translated 7 units to the left graph of the function y=|x|.

Step-by-step explanation:

If you are given the function y=f(x), then the graph of the function

  • y=f(x-a) is translated a units to the right graph of the function f(x);
  • y=f(x+a) is translated a units to the left graph of the function f(x);
  • y=f(x)+a is translated a units up graph of the function f(x);
  • y=f(x)-a is translated a units down graph of the function f(x).

In your case, graph of the function y=|x+7| is translated 7 units to the left graph of the function y=|x|.

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dlinn [17]

I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,

One possible answer is f(x) = \frac{4}{x},  \ \ g(x) = x^2+9

Another possible answer is f(x) = \frac{4}{x+9}, \ \ g(x) = x^2

There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)

So in the first example above, we would have

f(x) = \frac{4}{x}\\\\f( g(x) ) = \frac{4}{g(x)}\\\\f( g(x) ) = \frac{4}{x^2+9}

In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.

Similar steps will happen with the second example as well (when g(x) = x^2)

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3 years ago
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Answer:

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Step-by-step explanation:

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Negative: The variables move in opposite directions, one increases and the other decreases.

In this question:

As the first increases the second decreases, that is, they move in opposite directions, so it is a Negative Association.

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Answer:

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Step-by-step explanation:

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