Answer:
Option C
Step-by-step explanation:
Consider the function f ( x ) = 3x^2 + 4;
![f ( x ) = 3x^2 + 4,\\\\4 = vertex ( y - intercept ),\\\\\\](https://tex.z-dn.net/?f=f%20%28%20x%20%29%20%3D%203x%5E2%20%2B%204%2C%5C%5C%5C%5C4%20%3D%20vertex%20%28%20y%20-%20intercept%20%29%2C%5C%5C%5C%5C%5C%5C)
Now if this graph were to be translated 7 units down, considering the function was f ( x ) = 3x^2, the new graph would be f ( x ) = 3x^2 - 7. The same concept is applied to the graph f ( x ) = 3x^2 + 4;
![4 - 7 = - 3,\\f ( x ) = 3x^2 - 3\\\\Solution - Option C](https://tex.z-dn.net/?f=4%20-%207%20%3D%20-%203%2C%5C%5Cf%20%28%20x%20%29%20%3D%203x%5E2%20-%203%5C%5C%5C%5CSolution%20-%20Option%20C)
* Note that a translation doesn't effect the rate with which the graph changes, it only effect's it's position on the coordinate plane
<em>Hope that helps!</em>