Question

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Answer 1

Answer:

$y = a \sin\left(\dfrac{2 \pi}{T}(x - h) \right ) + k$

Step-by-step explanation:

The general form of a sine function is  

y = A(sin(B(x - h)) + k

where

   |A| = amplitude

2π/B = T =period

     h = phase shift (horizontal shift, to the right if x > 0)

     k = vertical shift (midline is y = k)

Your function is

y = a sin(2πt/T) = a sin((2π/T)t)

Comparing terms, we find that

A = a

B = 2π/T

h = 0, but we must include it in the general formula

k = 0, but we must include it in the general formula

x = t

Your general formula becomes

$\mathbf{y = a \sin\left(\dfrac{2 \pi}{T}(x - h) \right ) + k}$