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PreCalc Functions Help: Translations

eddie2113

New member
Oct 30, 2013
1
Q: The point (0,-1/2) is on the graph of f. If g is a translation of f so that g(x)=f(x+1/2) + 2, then what are the coordinates of the translated point?

I got the answer (-1/2, 2) but I'm not sure if that is the correct answer.
Thanks!
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Re: PreCalc Functions Help

The translation:

\(\displaystyle f(x-h)+k\)

takes the point $(x,y)$ on $f$, and moves it to $(x+h,y+k)$.

You have the correct new $x$-coordinate, but not the correct new $y$-coordinate.