Problems
Problem 4.1:
If
f (x) is stretched vertically by a factor of
and then moved up
6 units and right 4 units, what is the equation of the new function? Give your
answer in terms of
f (x).
[Solution]
Problem 4.2:
If
f (x) is reflected over the
y-axis, then shifted 4 units left and 2 units
down, what is the equation of the new function? Give your answer in terms of
f (x).
[Solution]
Problem 4.3:
If
f (x) = 6x - 2, what is the equation of the new function if the graph is
shifted 3 units up and then reflected over the
x-axis?
[Solution]
Problem 4.4:
If
f (x) = 3x2 - 5, what is the equation of the new function if the graph if
stretched horizontally by a factor of
, then shifted right 3 units,
then stretched vertically by a factor of
?
[Solution]
Problem 4.5:
If
f (x) = x3 +6x2, what is the equation of the new function if the graph is
rotated
180o around the origin, shifted left 7 units, then shifted up 9
units?
[Solution]
Problem 4.6:
(2, 3) is a point on the graph of
f (x). If the graph is stretched vertically
by a factor of 4, stretched horizontally by a factor of 5, then shifted down 2
units and right 7 units, what is the corresponding point on the new graph?
[Solution]
and then moved up
6 units and right 4 units, what is the equation of the new function? Give your
answer in terms of f (x).
[Solution]
, then shifted right 3 units,
then stretched vertically by a factor of 
