Operations on Functions
Problems
Problem :
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)
.
Problem : 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) .
Problem : 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?
Problem :
If
f (x) = 3x
2 - 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
?
Problem : If f (x) = x 3 +6x 2 , what is the equation of the new function if the graph is rotated 180 o around the origin, shifted left 7 units, then shifted up 9 units?
Problem : (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?
