Iam in pre-calculus and taking a placement exam and have no clue what i'm supposed to do for this problem. it's really important that i score well so could someone explain how to do this? also i'm not cheating because this isn't the question from my book or anything it is just one i made that is similar to the others.
the function f(x) passes through point (3, 5). if g(x) = f(x+2)-6, find a point that must fall on the graph of g(x).

answer: ur mum is gay

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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