Answer:
g(x) is obtained by shifting the graph of f(x) 12 units in the left.
Step-by-step explanation:
we are given the function f(x) and g(x) as:
[tex]f(x)=\sqrt{x-8}[/tex] and [tex]g(x)=\sqrt{x+4}[/tex] or we can also say that [tex]g(x)=f(x+12)[/tex].
so any function g(x)=f(x+h) is formed by shifting the function either to the right or to the left of the graph depending on whether this 'h' is positive or negative.
if h>0 then the shift will be towards the left and if this h<0 then the shift will be towards the right by 'h' units.
here h=12>0
Hence, g(x) is obtained by shifting the graph of f(x) 12 units in the left.
