Answer:
Answer B
Explanation:
If both the function have the same shape, it means that the function f(x) is just shifted downwards to obtain function g(x).
The function f(x) is given as,
![f(x) = 4 - x^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/dgfz42viuaswy8ay1b2h5x46o280hjvn6j.png)
Shifting the curve downwards by 4 unites, the function g(x) is obtained,
![g(x) = f(x) - 4\\g(x) = 4 -x^(2) - 4\\g(x) = -x^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/2ifseqww7rtun2g0cc2fa05vmj3ppfxsyn.png)
I think option B is the correct choice.