Precalculus
Exploration 6 Exercises: General Sinusoids Reference Function Shifted
by [h,k]
In each exercise 1-8 below you are given two plots and each plot
contains two graphs, a red reference function
f(x)
, and a blue shifted function
g(x)
.
Plot 1. On
the first plot of each exercise, your red reference function
f(x)
is an
unshifted sine
function, your blue function
g(x)
is a
shifted sine
function (obtained from the red
function), and you are to write down the correct expression (formula)
for each one.
Plot 2. On
the first plot of each exercise, your red reference function
f(x)
is an
unshifted
cosine
function, your blue function
g(x)
is a
shifted cosine
function (obtained from the red
function), and you are to write down the correct expression (formula)
for each one.
Exercise 1.
Sine Model
Exercise 1.
Cosine Model
Exercise 2.
Sine Model
Exercise 2.
Cosine Model
Exercise 3.
Sine Model
Exercise 3.
Cosine Model
Exercise 4. Sine Model
Exercise 4.
Cosine Model
Exercise 5. Sine Model
Exercise 5.
Cosine Model
Exercise 6. Sine Model
Exercise 6.
Cosine Model
Exercise 7. Sine Model
Exercise 7.
Cosine Model
Exercise 8.
Sine Model
Exercise 8.
Cosine Model
In each
exercise 9-16 below you are given only one plot and each plot contains
two graphs, a red reference function
f(x)
, and a blue shifted function
g(x)
. In each of these exercises you need
find the functions for only one model, sine or cosine, and the one you
should use is indicated in each exercise.
Exercise 9. Sine Model
Exercise 10. Cosine Model
Exercise 11. Sine Model
Exercise 12. Cosine Model
Exercise 13. Cosine Model
Exercise 14. Sine Model
Exercise 15. Cosine Model
Exercise 16. Cosine Model