Sample question: *Write* an *equation* of a *sine* curve with amplitude $\,5\,$, period $\,3\,$, and phase shift $\,2\,$. , so also tr graphs can be made more complicated. In this section, you will **write** an **equation** of a curve with a specified amplitude, period, and phase shift.

## How to write a sine equation

This class is for familiarizing students with " Algebra Xpresser " and teaching them the role of a, b, c of y = a sin ( bx c ). It's for understanding the idea of a horizontal translation of functions by some units. " Since the frequency of y = sin x is 2 , we can understand that the two graphs are the same in shape and are certain that why it is. We can transform and translate tr functions, just like you transformed and translated other functions in algebra.

In the prior section, you learned

howto find the amplitude, period, and phase shift of a given (generalized)sineor cosine curve.

### How to write a sine equation

#### How to write a sine equation

If the period is more than 2π then B is a fraction; use the formula period = 2π/B to find the exact value. The general __equation__ of a __sine__ graph is y = A sin(B(x - D)) C The general __equation__ of a cosine graph is y = A cosin(B(x - D)) C Example: Given a transformed graph of __sine__ or cosine, determine a possible __equation__. To find the *equation* of *sine* waves given the graph 1.

The amplitude just says **how** "tall" or "short" the curve is; it's up to you to notice whether there's a "minus" on that multiplier, and thus whether or not the function is in the usual orientation, or upside-down. ON PAPER By Mary Jane Sterling Even though each tr function is perfectly wonderful, being able to express each tr function in terms of one of the other five tr functions is frequently to your advantage.

How to write a sine equation:

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