Write the formula for the following trigonometric function:

Question

Write the formula for the following trigonometric function using the graph and information provided:

f(t)=_________sin(________pi(t))+__________

https://ibb.co/q13YzvT

Answer 1

I find an amplitude of 2, a period of 2 (e.g., minima at -0.5 and +1.5), no phase shift, and a vertical shift of +1. The coefficient in front of time t inside the sine function is 2π/P = 2π/2 = π in this case, so there is just a "1" in front of πt. Thus f(t) = 2 sin(1 π t) + 1.