SOLUTION: If the absolute value equation is: y= -[x]+3, would i move go to the right or left?? would it be the same for y=-[x+3]???

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Question 59862This question is from textbook
: If the absolute value equation is: y= -[x]+3, would i move go to the right or left?? would it be the same for y=-[x+3]??? This question is from textbook

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
If the absolute value equation is: y= -[x]+3, would i move go to the right or left??
y=-|x|+3 would be shifted up three units because the 3 is outside of the absolute value:
This is y=-|x|
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-1%2Aabs%28x%29%29
This is y=-|x|+3
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-1%2Aabs%28x%29%2B3%29
would it be the same for y=-[x+3]???
Because the +3 is on the inside of the absolute value it gets a horizontal shift 3 units left. Note that this is in the opposite direction that you might think it would go.
This is y=-|x+3|
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-1%2Aabs%28x%2B3%29%29
Happy Calculating!!!