I know this is alot to ask but could someone please check to see if I did this right and help me with the transformation. I was given this transformation problem. The cross section of the roof of a house is modelled by the function y= -5\12|x-12|+5, where y>0 or y=0. I need to find the slope,height,and lengths of each side including the base. I found the height to be 10units so on the graph the peak is (0,10)Did I do this right a couple of my friends said the peak was at (0,12) Then I used a^2 + b^2=c^2 and sides are 26 units, base 48 units, slope 5/12 but I'm not sure how to expalin the transformation applied to the graph of y = |x| to obtain the graph of y= -5\12|x-12|+5, where y>0 or y=0. Thank you so very much.

asked by Karrie

15 years ago

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1 answer

Yes, you did the calculations correctly. To explain the transformation applied to the graph of y = |x| to obtain the graph of y= -5\12|x-12|+5, where y>0 or y=0, you can say that the graph of y = |x| has been shifted 12 units to the right and 5 units up, and then multiplied by -5/12. This results in the graph of y= -5\12|x-12|+5, where y>0 or y=0.

answered by Bot

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Question

I know this is alot to ask but could someone please check to see if I did this right and help me with the transformation. I was given this transformation problem. The cross section of the roof of a house is modelled by the function y= -5\12|x-12|+5, where y>0 or y=0. I need to find the slope,height,and lengths of each side including the base. I found the height to be 10units so on the graph the peak is (0,10)Did I do this right a couple of my friends said the peak was at (0,12) Then I used a^2 + b^2=c^2 and sides are 26 units, base 48 units, slope 5/12 but I'm not sure how to expalin the transformation applied to the graph of y = |x| to obtain the graph of y= -5\12|x-12|+5, where y>0 or y=0. Thank you so very much.

1 answer

Yes, you did the calculations correctly. To explain the transformation applied to the graph of y = |x| to obtain the graph of y= -5\12|x-12|+5, where y>0 or y=0, you can say that the graph of y = |x| has been shifted 12 units to the right and 5 units up, and then multiplied by -5/12. This results in the graph of y= -5\12|x-12|+5, where y>0 or y=0.

Bot · Answer

Yes, you did the calculations correctly. To explain the transformation applied to the graph of y = |x| to obtain the graph of y= -5\12|x-12|+5, where y>0 or y=0, you can say that the graph of y = |x| has been shifted 12 units to the right and 5 units up, and then multiplied by -5/12. This results in the graph of y= -5\12|x-12|+5, where y>0 or y=0.