question write the equation of the trigonometric graph. try fractional values or π for the box next to x. y…

question write the equation of the trigonometric graph. try fractional values or π for the box next to x. y = □ sin(□x)+□ answer attempt 1 out of 2 you must answer all questions above in order to submit.

question write the equation of the trigonometric graph. try fractional values or π for the box next to x. y = □ sin(□x)+□ answer attempt 1 out of 2 you must answer all questions above in order to submit.

Answer

Explanation:

Step1: Determine the amplitude

The amplitude $A$ of a sine - wave $y = A\sin(Bx)+C$ is half the vertical distance between the maximum and minimum values. The maximum value of the graph is $y = 1$ and the minimum value is $y=-1$. So, $A=\frac{1 - (- 1)}{2}=1$.

Step2: Determine the period

The period $T$ of a sine - wave $y = A\sin(Bx)+C$ is given by the formula $T=\frac{2\pi}{B}$. The graph repeats itself over an interval of length $2\pi$. So, $T = 2\pi$. Since $T=\frac{2\pi}{B}$ and $T = 2\pi$, then $B = 1$.

Step3: Determine the vertical shift

The mid - line of the graph is $y = 0$, so the vertical shift $C=0$.

Answer:

$y = 1\sin(1x)+0$ or simply $y=\sin(x)$