For each function, indicate the amplitude, frequency, period, phase shift, horizontal and vertical translations, and
equation of the midline. graph the function together with a graph of the sine function ) = cos(x) on the same
axes. graph at least one full period of each function. no calculators are allowed.
a. ) = cos(3x)
b. ) = cos (x − / 4 )
c. ) = 3 cos (x / 4)
d. ) = 3 cos(2x) − 4
e. ) = 4 cos / 4 − 2x) (hint: first, rewrite the function in the form ) = − ℎ