The point P(4, 3) lies on a curve y = f(x).

a. State the coordinates of the point to which P is transformed on the curve with equation:

i. y = f(3x) 

ii. 1/2 y = f(x) 

iii. y = f(x − 5) 

iv. −y = f(x) 

v. 2( y + 2) = f(x)

b. P is transformed to point (2, 3). Write down two possible transformations of f(x).

c. P is transformed to point (8, 6). Write down a possible transformation of f(x) if

i. f(x) is translated only 

ii. f(x) is stretched only.