Describe how to transform the graph of f into the graph of g.

f(x) = square root of quantity x minus eight. and g(x) = square root of quantity x plus four.

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:

and or we can also say that .

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.

what i would say the best answer is a. 40.5