Problem :
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
a)
g(x) = 3(x + 2)^{2} - 4
b)
g(x) = (x + 2)^{2} -
c)
g(x) = (x + 2)^{2} = (x + 4)^{2} - 1
d)
g(x) = (4x + 2)^{2} -1 = 16(x + )^{2} - 1
Problem :
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).
4f (5x)
Problem :
What is the equation if f (x) is shrunk vertically by a factor of 6 and shrunk
horizontally by a factor of 6?
f (6x)
Problem :
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.
z = 2
Problem :
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)
a) Domain: . Range:
b) Domain: . Range:
c) Domain: . Range:
Problem :
What relationship does g(x) = f (x) have to f (x)?
g(x) is shrunk vertically by a factor of 2 (stretched by
) and
stretched horizontally by a factor of 3.