Answer:
Option 2.
Explanation:
To solve this, let's first find the values given to us.
The two x-intercepts are (4, 0) and (12, 0).
The parabola opens downward, meaning the value of a should be negative.
The vertex is (8, 32).
We know it is 8 because the halfway point between the x-intercepts is 8.
We can already eliminate option 3 because option 3 has a positive value of a.
This leaves us with options 1, 2, and 4.
The easiest way to figure out which option is correct is to graph the remaining functions in a graphing calculator.
The graph of a function that meets all of the above values is the correct function.
After graphing all of the functions, option 2 was the only one that had a vertex of (8, 32). So, option 2 is correct.