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BaLLatris [955]
2 years ago
15

F(x)=∣x∣

Mathematics
1 answer:
elixir [45]2 years ago
5 0

Answer:

Step-by-step explanation:

There are two transformations, one vertical, one horizontal.

The + 9 part outside the absolute value sign moves the graph up 9 units.

Replacing  x  with  x - 1 moves the graph right 1 unit.

<em>Comment:</em>  The horizontal shifts sometimes appear backwards:  x - 1 looks like a shift to the left, but it's not.

Example:  f(4) = |4| = 4.  To get the same output (4) from g(x), you have to use a value for  x  that is 1 unit <u>larger</u> than 4.  g(5) = |5 - 1| = 4.

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Subtracting a negative number is like adding a positive number. So, you can change 9 - (-5) into 9 + 5, which is much simpler. Then, just add to get 14.



Please consider marking this answer as Brainliest to help me advance.
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