Describe in words how to obtain the graph of f (t) = sin (5t + 20) - 7 from the graph of y = sin (5t).

Answer: f (t) is shifted 20 units to the left and 7 units down

Step-by-step explanation:

The general form of a sin function is: y = A sin (Bx - C) + D

A is the vertical stretch (amplitude) B is the horizontal compression C is the horizontal shift (left or right) D is the vertical shift (up or down)

y = sin (5t)

f (t) = sin (5t + 20) - 7

the C-value is - 20 - -> shifts 20 units to the left the D value is - 7 - -> shifts 7 units down