To calculate minimum value, do -b/2a to get the x-value, and plug it in to get the y-value:
-6/8 = -3/4

So the minimum value of g(x) is -81/4
This shows that g(x) has a lesser minimum value than f(x)
The answer of the question is b
All you have to do is plug in 15 to f(x) to get
15=4|x-5|+3 then solve for x
12=4|x-5|
3=|x-5|
3=x-5
-3=x-5
x=8, -2
Hope this helped :)