Question

Provide an example of a trig function that includes multiple transformations. Describe how it is different from the standard trig function f(x) = sin x, f(x) = cos x, or f(x) = tan x using key features.

Answer 1

An example of a trig function that includes multiple transformations and how it is different from the standard trig function is; As detailed below

How to interpret trigonometric functions in transformations?

An example of a trigonometric function that includes multiple transformations is; f(x) = 3tan(x - 4) + 3

This is different from the standard function, f(x) = tan x because it has a vertical stretch of 3 units and a horizontal translation to the right by 4 units, and a vertical translation upwards by 3.  

Another way to look at it is by;

Let us use the function f(x) = sin x.

Thus, the new function would be written as;

g(x) = sin (x - π/2), and this gives us;

g(x) = sin x cos π/2 - (cos x sin π/2)  = -cos x

This will make a graph by shifting the graph of sin x π/2 units to the right side.

Now, shifting the graph of sin xπ/2 units to the left gives;

h(x) = sin (x + π/2/2)

Read more about Trigonometric Functions at; brainly.com/question/4437914

#SPJ1