Answer: choice C
g(x) = 1 - x^2
Step-by-step explanation:
The red g(x) curve is the result of shifting the blue f(x) curve down three units.
Whatever the f(x) output is, we subtract 3 from it to get the g(x) output.
g(x) = f(x) - 3
g(x) = ( f(x) ) - 3
g(x) = ( 4 - x^2 ) - 3 .... replace f(x) with 4-x^2
g(x) = 4 - x^2 - 3
g(x) = 4-3 - x^2
g(x) = (4-3) - x^2
g(x) = 1 - x^2