SOLUTION: I have a graph of f(x) and I have to translate it to {{{ y=(1/2)f(x+2)+6 }}} I know that the 2 makes it move left 2, and the 6 makes it move up 6, and I know that the 1/2 makes it

Algebra ->  Graphs -> SOLUTION: I have a graph of f(x) and I have to translate it to {{{ y=(1/2)f(x+2)+6 }}} I know that the 2 makes it move left 2, and the 6 makes it move up 6, and I know that the 1/2 makes it      Log On


   



Question 36559: I have a graph of f(x) and I have to translate it to +y=%281%2F2%29f%28x%2B2%29%2B6+
I know that the 2 makes it move left 2, and the 6 makes it move up 6, and I know that the 1/2 makes it shrink by half, but I just don't understand how to make it shrink. Can you please help me?
Thanks,
Jamie :)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y=(1/2)f(x+2)+6
The "shrinking" produced by the (1/2) means y-values
of f(x+2) are each multiplied by (1/2).
So each point is moved 1/2 its distance closer to
the x-axis. Higher ones get moved more than lower
ones because each is moved 1/2 its y value.
Cheers,
Stan H.