SOLUTION: Name a point on the graph of y1= -f(x) -2 if (3,4) is a point on the graph of y2=f(x). Please help me !

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Question 703477: Name a point on the graph of y1= -f(x) -2 if (3,4) is a point on the graph of y2=f(x). Please help me !
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I am not 100% sure that I understand the question, but ...
If {3,4) is a point in the graph of y%5B2%5D=f%28x%29,
then for x=3, y%5B2%5D=4, so 4=f%283%29.
The other function, y%5B1%5D=-f%28x%29-2, would be a flipped and shifted modification of y%5B2%5D=f%28x%29.
(Its graph is flipped upside down because of the minus in -f%28x%29,
and it is shifted down by 2 units because of the -2).
In particular, for x=3,
y%5B1%5D=-f%283%29-2=-4-2=-6.
So (3,-6) is a point in the graph of y%5B1%5D=-f%28x%29-2.