Answer:
[tex]y=Sin(x-\frac{\pi}{4})[/tex]
Step-by-step explanation:
The basic graph of y = Sin(x), starts at x = 0.
Looking at the graph, the basic sin curve starts at x = π/4
So this function is the parent sin function shifted π/4 units to the right.
Note:
y = Sin(x-a) is the parent function ( y= Sinx) shifted a units right
y = Sin(x+a) is the parent function shifted a units left
Since this function is shifted π/4 units right, the equation would be:
y = Sin (x-π/4)
The third answer choice is right.
