6 Write the equation of the following functions, given the original function and the transformations performed. (i) f(x) = 1 x , vertically stretched by a factor of 7, reflected in the yaxis, translated 5 units to the right and translated 3 units downwards. (ii) f(x) = x, horizontally compressed by a factor 1 3 , reflected in both the xaxis and the yaxis, translated 11 units to the left and 4 units up.

Describe the transformations necessary to transform the graph of f(x) into that of g(x). (i) f(x) = x 3 , g(x) = 3(x + 1)3 . (ii) f(x) = 1 x , compress horizontally by a factor of 2 translate left 3 units