I want to make a graph similar to the one in the image. How do I make such a combined graph with 3 graphs stacked up vertically?
A basic google search will provide you the answer. Since you haven't done that, here's a small example case
f(x) = abs(x)<2*pi ? a*sin(x) : 1/0
g(x) = abs(x)<2*pi ? a*sin(x+pi/2) : 1/0
set multiplot layout 2,1 rowsfirst
set label 1 'a' at graph 0.92,0.9 font ',8'
plot f(x) with lines ls 1
set label 1 'b' at graph 0.92,0.9 font ',8'
plot g(x) with lines ls 1
unset multiplot
The desired output: