Write the particular equation of this transformed sine graph. assume that the horizontal shift is 1 unit to the right. (hint: try to find the best point to center the sinusoidal axis.)

READ THE QUESTION CAREFULLY.

y=4sin((x-1))+2

Step-by-step explanation:

Amplitude: Max is at 6, Min is at -2. Halfway point is 2. Subtract Max and Min with Halfway point.

6-2=4

2-(-2)=4

Thus Amplitude is 4.

The Max is at 6. The Min is at -2. Halfway point is at 2. Draw a horizontal line. That is your D. Since the graph has a horizontal shift 1 unit to the right, that will be your C. Draw a vertical line on 1. Usually Sinusoidal axis are (C,D).

Thus (C,D) = (1,2)

Then you need to find the period. When does one mountain completely form?  The Period is 4. (Confused? Draw a mountain and see how it starts and ends).

Thus 4=⇒B=⇒

Then put it all together.

General Form: Asin(B(x-C))+D

A=4 , B= , C= 1 , D=2

y=4sin((x-1))+2

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )