A. We can compress the graph of the function in the y-direction by multiplying the whole function by a constant C, such that
Since
, the graph of the function
is obtained from the graph of the function
by compression in the y-direction.
B. We can stretch the graph of the function in the y-direction by multiplying the whole function by a constant C, such that
Since
, the graph of the function
is obtained from the graph of the function
by compression in the y-direction and translation 3 units to the right.
C. We can flip the graph of the function upside down by multiplying the whole function by −1, then translate 1 unit to the left and 5 units up. Then we will get the function