Virtual High School Trigonometric Functions and Graphs Worksheet

Question 1 (10 points)Listen
For each of the following functions, state
• the domain;
• the range;
the minimum and maximum values;
. the period;
• the phase shift;
. and the amplitude.
a) f(x) = -2 cos (3x – 1) +1
b) f(x) = {sin (5x + 7) – 1
Question 2 (16 points)
Listen
Describe the transformations in each graph.
Sketch the graphs of the following functions by hand, using transformations. Show
your work (show how the transformations map from the base function to the
transformed function) for the graph in addition to listing the information.
Graph values from 0 < x < 2. a) f(x) = - cos (2x – 1 – 2 b) f(x) = -sin (5x + 5) + 2 Question 314 point Tareach of the grash below, retention of the form 1(x) - acos((-) + cor) -esin (4(2-d})+c. Show all of your calon M Question 412 points Os particular lace, the difference between high and low tide hour. At low tide, .m., 3 student mentre 14 distance from the dark she is standing on, down to the water two hours later, the more the distance from the dock down to the water to be 1.39 m. Atam, the distance 1.135 m down to the water Determine the function for the distance from the dock down to the water with most to the number of hour Determine the distance to the water at 4:30.mand 1:45 pm