Problems
Problem 1.1:
If
f (x) = (x - 3)2 - 2, what is the equation of the function if the graph is
shifted:
a) 2 units left
b) 3 units up
c) 8 units right
d) 1 unit down
[Solution]
Problem 1.2:
What is the equation if
f (x) is shifted 3 units up and 5 units to the right?
Give your answer in terms of
f (x).
[Solution]
Problem 1.3:
The domain of a function is and the range of the function is
. What are the domain and range if the function is shifted
left 2 units and up 6 units?
[Solution]
Problem 1.4:
If the domain of
f (x) is and the range of
f (x) is , what are the domain and range of:
a)
g(x) = f (x) + 4
b)
g(x) = f (x + 3)
c)
g(x) = f (x + 3) + 4
[Solution]
Problem 1.5:
What relationship does
g(x) = f (x + 2) - 8 have to
f (x)?
[Solution]
Problem 1.6:
What relationship does
g(x) = f (x - 1) + 6 have to
f (x + 2) + 5?
[Solution]
