Question

What is the original function f(x) of y=-1/2 f(1/2 x+4)+3? Can someone help me?

Answer 1

using (0,0) as your base
when you change x inside the parenthesis you are moving the graph horizontally
when you change y you are moving the graph up or down
when you change the coefficient of x means when a is not 1, you are shrinking or stretching the graph
a negative value for a means you are reflecting across the x-axis.

Answer 2

then, what is the original function f(x)?