Question 719110: I need to solve this y=|x-1|+2
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?
Answer by jsmallt9(3758)   (Show Source):
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
- Choosing an x value from the domain
- Use the chosen x value and the equation to determine the y value
- Plot the point,
- 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.
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:
y = |(-2)-1| + 2
y = |-3| + 2
y = 3 + 2
y = 5
So one point to use would be (-2, 5). Repeat this for the other x values you chose.
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