The function f(x) = -5x. The graph of g(x) is f(x) vertically compressed by a factor of 1/4 and reflected in the x axis. What is the function rule for g(x)?g(x) = -20xg(x) = -5/4xg(x) = 20xg(x) = -3x + 2

None of the above are correct, the correct answer is 
g(x)=5/4x
because you multiply by 1/4 (the vertical, or towards the x axis compression) to get -5/4x 
but then you have to reflect across the x axis by flipping the sign to get 5/4x
Try using a graphing tool to experiment with how changing numbers affects the line.