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

Question:

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 state the coordinates of points where the curves cross the axes and in iii state the equations of the asymptotes.
a. f(x + 2) 

b. f(x) + 2 

c. f(x − 1)

d. f(x) − 1 

e. f(x) − 3 

f. f(x − 3)

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