What are the transformations in 8sin(2t)=2?

dilate horizontally by 1/2

dilate vertically by 8
not sure what the = sign is for, but if it's a typo for +, then shift up 2

Did you know?

Did you know that the equation 8sin(2t) = 2 represents a sinusoidal function? The transformation happening in this equation is a vertical stretch or compression of the sine function by a factor of 8. This means that the amplitude of the function is 8. The "2t" inside the sine function indicates a horizontal compression of the curve. In ordinary sine function, one complete cycle is completed when the angle inside the sine function is equal to 360 degrees or 2π radians. However, in this equation, the cycle is completed in half the time, so the period is reduced by a factor of 2. So, when trying to understand transformations in equations like this, it's important to look at amplitude and horizontal stretching or compression factors.