Answer:
The quotient of seven and p
7 / p
The answer would be 0 solutions.
Here, we see <em>|</em><em />x+6<em>|</em><em /> = 2.
Oh wow! A foreign object!
|x+6|... two lines... what is that?
That is called absolute value. Whatever is inside the two lines, must have a positive answer!
Let's pretend we have a machine that has this absolute value function activated.
What we put in, we must get a positive answer out.
Let's put in -6.
-6 ==> BEEP BEEP ==> 6
Let's try 3.
3 ==> BEEP BEEP ==>3
Whatever we put in, if it is negative or positive, what comes out is always positive.
So, for how many values <em>x</em> is |x+6|=-2 true?
None, because the answer <em>must</em><em /> be positive!
-2 is not positive, <em>2</em><em /> is.
- First, to shift the graph of
1 unit to the right, so 
- Second, to shift the graph of
4 units to the left, so 
<h2>
Explanation:</h2>
To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged



In this case, we have the graph of:

And we need to translate it to make it the graph of:

According to our rules we need:
- First, to shift the graph of
1 unit to the right, so 
- Second, to shift the graph of
4 units to the left, so 
But
is the same as
, so the previous steps can be simplified as:
- Shifting the graph of
3 unit to the left.
Below are shown those graphs:
- The blue one is

- The red one is

<h2>Learn more:</h2>
Shifting graphs: brainly.com/question/10010217
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