Question 1 Given f(x) drawn below, find possible formulas in terms of f(x) for
3 transformed graphs of f(x):

g(x): f(x+5)

h(x): -f(x)

k(x): ½ f(x)

Question 2 - Given a function y = f(x): Graph the transformation g(x)= ½ f(-x):

Question 3 Given f(x) drawn below, find possible formulas in terms of f(x) for
3 transformed graphs of f(x):

g(x): f(x) + 3

h(x): f(-x)

k(x): ½ f(x)

Question 4 - Find the inverse function of the following i.e. x = f(y):

(a) y = (b) y = 

(a) 

(b) square both sides: 

Question 5 - Given a function y = f(x): Graph the transformation g(x)= -2 f(x+1):
 

Question 6. Sketch the following transformations of the function f(x) shown below:

g(x) = -2 f (x + 4) - 1 (last part of trans. Difficult)