What is the image point of #(-5, 1)# the after transformation #T_(-3,-2)#?

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Answer 1 · 2018-02-14T08:52:33

The image is #(-8,-1)#. See explanation.

To find an image of #P(x,y)# in translation #T_{a,b}# you add #a# and #b# to #x# and #y# coordinates respectively, so the image is:

#T_{a,b}(x,y)=(x+a,y+b)#

Here we can write that:

#T_{-3,-2}(-5,1)=(-5-3,1-2)=(-8,-1)#