The parent function is y=a|x-h|+k. The vertex is (h,k). So if the function was y=|x-9|+1, then the vertex would be (9,1) But if inside the absolute value sign it said 'x+9' then the vertex would be (-9,1). The 'h' controls the shift from left or right on the graph. The 'a' controls if the 'V' shape it the function makes is open up or down and the slope (vertical stretch or horizontal shrink). The 'k' controls the up or down postion of the function. So if you wanted to graph y=|x|+2 it would look like this..
And if you wanted to graph y=|x-3| it would look like this...
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