Two quadratic functions are shown.
function 1:
f(x) = 4x2 + 8x + 1
function 2:
−2 2
−1 0
0 2
1 8
which function has the least minimum value and what are its coordinates?
function 1 has the least minimum value and its coordinates are (−1, −3).
function 1 has the least minimum value and its coordinates are (0, 1).
function 2 has the least minimum value and its coordinates are (−1, 0).
function 2 has the least minimum value and its coordinates are (0, 2).

So I think the question is basically asking for the minimum y value you could get from the functions.
For the first function,

to find the minimum y. (Use x=-b/2a to find its vertex)
so in this case a=4 b=8
x=-8/2(4)=-1    the the minimum value will have -1 as its x coordinates, 
  plug in x=-1 to find y.
(-1,-3) for minimum value for the first function
For the second function,
(-1,0) is the vertex of the function, which is the minimum of the function.

compare the first function with y=-3 and second function y=0.
The first function will have the least minimum value and the coordinates are (-1,-3).

The scale factor of what ?