Amplitude and period of sine graph in trigonometric graphs as function transformation. Here one will determine how adding, subtracting, multiplying numbers inside of these functions and how it affects the shape of the graph. Also to understand and learn in easier way to graph it like it is easy to graph any linear equation on the graph when given. Function transformation is something that we do to turn the F(x) the graph or transforms the graph in some way.
In previous mathematicsstudy we had studied that the f(x) and simply multiplies by some constant a. if anyone recalls the transformation of information was a vertical dilation also called as a vertical stretch by a factor of a. we will also study that how it changes now specifically affects the trick function. Let us draw a rough sketch of basic trick function .let us plug in the domain from 0 to 2 pie. Recall it as the sine function has the shape it starts from the origin; it should be more comfortable with now which has a maximum height and a minimum height of + 1 and –1. So graph of the function y = sin(x). How is a value going to change this, so in the same graph we will look y = 3(x).
We will learn that how this 3 will affect the graph. And what ways will the graph change. Let us look into the basic graph, y= sin(x), we can verify that the shape. It has period of two pie, and we can see the functional part itself. Once in the space of two pie with a maximum value at pie over two of one and a minimum value 3 pie over two of -1.we can change the graph by changing the coefficient.as we change the amplitude the height of the function goes above and below. The x axis increases.
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