Answer: The correct option is (C) 
Step-by-step explanation: We are given to select the correct equation such that its graph has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16).
We know that the co-ordinates of the x-intercepts and the y-intercept will satisfy the equation.
So, we will check the given functions one by one.
Option (A) is

Here,

So, this option is not correct.
Option (B) is

Here,

So, this option is not correct.
Option (C) is

Here,

So, this option is correct.
Option (D) is

Here,

So, this option is not correct.
Thus, The correct equation is 
Option (C) is correct.