Finding coordinates after function translation g(x)=f(x+1/2)+2

[eddie2113]

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]

Re: PreCalc Functions Help

The translation:

$$f(x-h)+k$$

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.