Can someone please explain how to determine the answer from

Can someone please explain how to determine the answer from the graph

Determine the equation of the function that is grapher Choose the correct answer below. y = sin (x = 3 pi/4) - 3 y = sin (x - 3 pi/4) + 3 y = sin (x + 3 pi/4) -3 y = sin (x + 3 pi/4) + 3

Solution

Answer (B)

for deeper understanding relation b/w a,b,c we can give them a
function y = sin(x-3pi/4)+3 .
To get the maximum and minimum frequency and amplitude .
Compare with the y = asin(b(x-c))+d
a = amplitude
2pi/b = period
c = horizontal displacement which is 3pi/4
d = vertical displacement which is 3
Answer