Answer:
y=sin((pi/290)x)
Step-by-step explanation:
If we look at all the coordinates given (0,0),(145,1),(290,0),(435,-1),(580,0) we can draw it out and see what are our maximum and minimum y-value. Â Once you graph this you will notice that the maximum y-value is 1 and minimum y-value is -1, this is important because we call this our amplitude. Â Now we will determine our midline, we do so by getting the average of our amplitude so [tex]\frac{1+(-1)}{2}=\frac{0}{2} =0[/tex] and so our midline is zero. Â Next we will determine our period in terms of radians we can do so by looking at our period which happens to be 580. Â This means that the line will repeat itself every 580 on the numberline and so:
[tex]P=\frac{2\pi }{B}\\ \\580=\frac{2\pi}{B}\\\\B=\frac{2\pi}{580} \\\\B=\frac{\pi}{290}[/tex]
Therefore our period in radians is pi/290.
A sine function is such that:
[tex]y=Asin(Bx)+D[/tex]
where A is the amplitude, B is the period, and D is the midline. Â Our amplitude is 1, midline is zero and our period is pi/290 and so our final equation is:
[tex]y=sin(\frac{\pi}{290}x)[/tex]
Answer:
what they said is correct
Step-by-step explanation
I took the test
