Answer:
Option 2
Explanation:
Hello!
In the table we are given a root of the equation, or the x-value that when plugged in will result in a y-value of 0.
We can plug in (4,0) into all equations and see which one has that point included.
- 0 = -(4 - 4)²
0 = 0 - 0 = (4 - 4)²
0 = 0 - 0 = -(4)² + 4
0 ≠ -12 - 0 = 4² + 4
0 ≠ 20
Only the first two equations accept the root (4,0).
Now if we take a look at the graph, we see that all y-values are positive. The only function between the two options is the 2nd one, as being squared will always result in a positive number.
The correct option is the 2nd function.