All Trigonometry Resources
Example Question #14 : Trigonometric Graphs
This is the graph of what function of x?
is shown in red, and is shown in blue.
Example Question #15 : Trigonometric Graphs
Give the equation of the following graph.
Looking at our graph, we can tell that the period is . Using the formula
where is the coefficient of and is the period, we can calculate
This eliminates one answer choice. We then retrun to our graph and see that the amplitude is 3. Remembering that the amplitude is the number in front of the function, we can eliminate two more choices.
We then examine our graph and realize it contains the point . Plugging 0 into our two remaining choices, we can determine which one gives us 4 for a result.