Advanced Functions 6.4 Transformations of Trigonometric Functions
Channel: Ms Havrot's Canadian University Math Prerequisites
Date: 2019-10-21

y = a sin[k(x-d)] + c    y = a cos[k(x-d)] + c 
a gives you amplitude, c gives you the axis !  So easy to set your range knowing these two values
Period = 2π/k , d is your horizontal shift AND DON'T forget to FACTOR the k value away from the x and constant terms.