document.write( "Question 719110: I need to solve this y=|x-1|+2
\n" ); document.write( "I need the points to graph this and the domain and range. I belive the domain is -infinity, infinity and the range is 2, positive infinity. How do I find the points to graph this? \n" ); document.write( "
Algebra.Com's Answer #441204 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
Your domain and range are correct. To graph it you can either:
  • Find and plot points by
    1. Choosing an x value from the domain
    2. Use the chosen x value and the equation to determine the y value
    3. Plot the point,
    4. Repeat until you have enough points to see how to \"connect the dots\".
    Or...
  • Use your understanding of the graph of y = |x| and transformations. The graph of y = |x-1| + 2 will be the graph of y = |x| translated to the right by 1 and up by 2.

\n" ); document.write( "P.S. In response to the question in your \"thank you\": The x values you listed are probably the best you could have chosen. But the y values do not go with those x's. For example: if x= -2 then we use the equation, y = |x-1| + 2, to find y:
\n" ); document.write( "y = |(-2)-1| + 2
\n" ); document.write( "y = |-3| + 2
\n" ); document.write( "y = 3 + 2
\n" ); document.write( "y = 5
\n" ); document.write( "So one point to use would be (-2, 5). Repeat this for the other x values you chose. \n" ); document.write( "
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