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Graphing: Translation of Points and Coordinates of Image Points

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Find the coordinates of the points whose images under the translation (x,y) --> (x - 3, y = 4) are the following:
a) (0,0)
b) (-3, 4)
c) (-6, -9)
d) (7, 14)
e) (h, k)

Consider the translation (x,y) --> (x + 3, y - 4). In each of the graphs in the attached file, draw the image of the figure under the translation and find the coordinates of the images of the labelled points.

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In an attached Word document, a complete solution is provided and contains the drawings for the several shapes under translations.

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Answer:

1. a) (x-3,y+4) = (0,0) so (x,y)=(3,-4)
b) (x-3,y+4)=(-3,4) so (x,y)=(0,0)
c) (x-3,y+4)=(-6,-9) so (x,y) = ( -3,-13)
d) (x-3,y+4) = (7,14) so (x,y) = (10,10)
e) (x-3,y+4) = (h,k) so (h,k) = ( x+3,k-4)

(a) ...

Solution provided by:
Chris Busu, PhD (IP)
Education
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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