Answer:
   the last choice shown here: F'(0, -4), G'(-3, -1), H'(-2, 2), I'(0, -2)
Step-by-step explanation:
The translation vector tells you that the new coordinates are found by adding -4 to each of the old coordinates. When you realize that the answer choices differ in their values for H' and I', you can conclude that you only need to find one of those to determine the correct answer.
   H' = H + (-4, -4) = (2-4, 6-4) = (-2, 2) . . . corresponds to the last choice shown
_____
When you subtract 4 from each of the coordinates of the other points, you find they also match the last answer selection.
 
        
             
        
        
        
Answer:
The ball reaches 44 ft above the ground after 4 sec.
Step-by-step explanation:
Set h(t)=-16t^2+300 equal to 44 feet and solve for time, t.  Indicate exponentiation with " ^ "
-16t^2 + 300 = 44 becomes
-16t^2 + 256 = 0, or 16t^2 = 256.  Then, taking the square root of both sides, we get:
4t = 16, or t = 4 sec.  The ball reaches 44 ft above the ground after 4 sec.