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24 votes
2) The maximum point on the graph of the equation y-f(x) is (-5,7). What is the maximum pointon the graph of the equation y = f(x - 2)+ 3 ?

User Pavel Chernikov
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1 Answer

21 votes
21 votes

The second equation is a translation of the first one:


(x,y)\rightarrow((x-2),(y+3))

So if the maximum point of the first equation is (-5,7), then the maximum of the translated equation is:


(-5,7)\rightarrow((-5-2),(7+3))

The maximum is (-7, 10)

User Rabra
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