SOLUTION: describe the transformation of g(x)=|x-2|+2 Is it possible that the answer is "impossible geometric transformation"? The absolute value confuses me.

Question 882998: describe the transformation of g(x)=|x-2|+2
Is it possible that the answer is "impossible geometric transformation"? The absolute value confuses me.
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
x-2 can be 0 or positive or negative. A change occurs at x=2.

The case, means ;
Think carefully about the meaning of absolute value and maybe draw and label a numberline to see that.

The case means x=2 and then .

The case, means .

To understand this as a transformation, you would have started with ; and then the x-2 means shifting two units to the right, and then the means shifting two units upward.

Instead of this "simpler" function:

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