Answer: OPTION C
Explanation:
There are some transformations for a function f(x). Some of them are shown below:
1. If
, the function is shifted up "k" units.
2. If
, the function is shifted down "k" units.
3. If
, the function is shifted left "k" units.
4. If
, the function is shifted right "k" units.
In this case you know that the function "g" is the transformation of the function "f".
Observe that the function "f" intersects the y-axis at:
![y=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iixn10ipws98pi08daetfkonu7i7z3hmrl.png)
And the function "g" intersects the y-axis at:
![y=-2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pkf9clori5oeihuk7us9obwec6e9a5v5w6.png)
Therefore, since both functions are 4 units apart, you can conclude that the function "f" was shifted down 4 units to get the function "g".
Then, the rule that shows that transformation is:
![g(x)=f(x)-4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wc1eci3tfd72k1oi93q48wt9fdmkva1ana.png)