Select the correct answer. What transformations are applied to the graph of the function f (x)= 10^x to produce the graph of the function g(x)=3(10)^x– 2?

A a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units
B. a vertical dilation by a factor of 1/3 and a vertical shift down 2 units
C. a vertical dilation by a factor of 1/3 and a horizontal shift to the right 2 units
D. a vertical dilation by a factor of 3 and a vertical shift down 2 units