Find an equation with the given form in each case below.
y=sinè through(ð/2, 0)
I do not recognize the function "sinè" nor the number ð
its supposed to be sin and the number was supposed to be a pie(3.14....)
so pie over 2
To find an equation in the given form, we need to determine the amplitude, period, phase shift, and vertical shift of the sine function.
The general equation for a sine function can be written as: y = A*sin(B(x - C)) + D, where:
- A represents the amplitude (the maximum value of the function)
- B represents the reciprocal of the period (how fast the function oscillates)
- C represents the phase shift (horizontal shift)
- D represents the vertical shift (shift up or down)
In this case, we are given that the sine function passes through the point (π/2, 0) or (90°, 0). This means the phase shift is π/2 (90°) to the right. Hence, C = π/2.
To determine the amplitude and period, we need more information. If the problem doesn't provide further details, we can assume a standard amplitude of 1 and a standard period of 2π. Therefore, A = 1 and B = 1/(2π).
Finally, since there is no vertical shift mentioned, the equation will have a vertical shift of 0. Hence, D = 0.
Putting all the values together, we get the equation:
y = sin(x - π/2)