Use the zeros and the labeled point to write the quadratic function
represented by the graph
(6,8)
O A. y = x2 - 6x+8
OB. y = 2x2 + 12x + 16
O C. y = 2x2 - 4x - 16
OD. y = x2 +6x+8

 (first option in the list)

Step-by-step explanation:

Since there are two real zeroes that can be obtained from the graph, the points: (2,0) and (4,0), we know the two binomial factors that are going to constitute the quadratic expression: (x-2) and (x-4).

Then the function must be constructed with the following factors:

where "k" is a numerical factor that we can determine by using the fact that the point (6.8) is part of the graph of the function. That means, that when x=6, y should give "8". We use such to determine the value of "k" as follows:

Therefore, the expression for the quadratic function is: