describe the transformations

describe the transformations that have taken place for the graph g(x)=cosx to become the graph h(x)=-2cos(pi*x + pi/4).
 

g(x) = cosx
 
h(x) = -2cos((x + 1/4)π)
 
 
 
first, g(x) was shifted 1/4 units to the left with a vertical stretch.
 
then, g(x) was stretch vertically by a scale factor of 2.  we know this because the amplitude went from 1 to 2.
 
then, g(x) was reflected about the x-axis.