college algebra

On the graph, plot all relevant points for y=the absolute value of x-1. Then give the equation for a graph that shifts up 3 units and to the left 4 units. If it is a function, give its domain and range.

Thank you!!

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asked by jenny
  1. The original function is a "V" that rises from x=1,y=0 with a 45 degree angle to the right, and a -45 degree angle to the left. To shift it by the amounts described, the function becomes
    y = 3 + |x + 3|. It is a V with the bottom at x = -3, y = 3.

    Plot it yourself and you should see why, and what the range is.

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    posted by drwls

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