Asked by It Happens
                Describe how the graphs of y=|x| and y=|x+3| are related.
-The two graphs have the same shape but the second graph is shifted 3 units up
-the two graphs have the same shape but the second graph is shifted 3 units down
-the two graphs have the same shape but the second graph is shifted 3 units left
-the two graphs have the same shape but the second graph is shifted 3 units right
sorry if this is a pathetic question, I'm pretty bad at math
            
        -The two graphs have the same shape but the second graph is shifted 3 units up
-the two graphs have the same shape but the second graph is shifted 3 units down
-the two graphs have the same shape but the second graph is shifted 3 units left
-the two graphs have the same shape but the second graph is shifted 3 units right
sorry if this is a pathetic question, I'm pretty bad at math
Answers
                    Answered by
            mathhelper
            
    Generally speaking:
if you have y = f(x)
then something like y = f(x+5) would be a horizontal shift of 5 units to the left
and something like y = f(x-5) would be a horizontal shift of 5 units to the right
so yours would be 3 units to the left
Proof: (copy and paste this URL)
www.wolframalpha.com/input/?i=y%3D%7Cx%7C+%2C+y%3D%7Cx%2B3%7C
    
if you have y = f(x)
then something like y = f(x+5) would be a horizontal shift of 5 units to the left
and something like y = f(x-5) would be a horizontal shift of 5 units to the right
so yours would be 3 units to the left
Proof: (copy and paste this URL)
www.wolframalpha.com/input/?i=y%3D%7Cx%7C+%2C+y%3D%7Cx%2B3%7C
                                                    There are no AI answers yet. The ability to request AI answers is coming soon!
                                            
                Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.