Apply the following transformations to the curves with equations y = f(x) where:

i. f(x) = x² 

ii. f(x) = x³ 

iii. f(x) = 1/x

In each case show both f(x) and the transformation on the same diagram.

a. f(2x) 

b. f(−x) 

c. f(1/2x) 

d. f(4x) 

e. f(1/4x)

f. 2f(x) 

g. −f(x) 

h. 4f(x) 

i. 1/2f(x) 

j. 1/4f(x)