How does the graph of g(x)=4⌊x⌋ differ from the graph of f(x)=⌊x⌋?

a. multiplying by 4 shifts the graph of g(x)=4⌊x⌋ down 4 units.

b. multiplying by 4 shifts the graph of g(x)=4⌊x⌋ right 4 units.

c. multiplying by 4 stretches the graph of g(x)=4⌊x⌋ vertically by a factor of 4.

d. multiplying by 4 shifts the graph of g(x)=4⌊x⌋ up 4 units.