Problems
Problem 2.1:
If
f (x) = (x + 2)2 - 1, what is the equation of the function if the graph is
stretched:
a) vertically by a factor of 3
b) vertically by a factor of
c) horizontally by a factor of 2
d) horizontally by a factor of
[Solution]
Problem 2.2:
What is the equation if
f (x) is stretched vertically by a factor of 4 and
shrunk horizontally by a factor of 5 (stretched by a factor of
)?
Give your answer in terms of
f (x).
[Solution]
Problem 2.3:
What is the equation if
f (x) is shrunk vertically by a factor of 6 and shrunk
horizontally by a factor of 6?
[Solution]
Problem 2.4:
A function passes through (3, 5). It is stretched horizontally by a factor of
2z - 1, and the corresponding part of the resulting function passes through
(9, 5). Solve for
z.
[Solution]
Problem 2.5:
If
f (x) has a domain of and a range of , what are the domain and range of the following:
a)
g(x) = 10f (x)
b)
g(x) = f (2x)
c)
g(x) = f (x)
[Solution]
Problem 2.6:
What relationship does
g(x) = f (x) have to
f (x)?
[Solution]
[Solution]
)?
Give your answer in terms of f (x).
[Solution]
f (
