SOLUTION: I don't know how to solve y=|x-3|+3 and also what is tge name of the equation

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Question 971409: I don't know how to solve y=|x-3|+3 and also what is tge name of the equation
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The absolute value part CONTAINS an expression which may be positive or zero, or negative. Those are TWO separate cases.

x-3 nonnegative means abs%28x-3%29=x-3;
x-3 as negative means abs%28x-3%29=-%28x-3%29=-x%2B3;

y=abs%28x-3%29%2B3 is now best understood as
y=x-3%2B3 OR y=-x%2B3%2B3
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y=x for x%3E=3 OR y=-x%2B6 for x%3C3.