The graph of y=4 sin(x+3)-2 is obtained by shifting the graph y=4 sin x-2 horizontally 3 units to the left.

True or false

Please explain. Thank you!

Question

The graph of y=4 sin(x+3)-2 is obtained by shifting the graph y=4 sin x-2 horizontally 3 units to the left. 

 True or false 

 Please explain. Thank you!

kj4uts · Answer

attachment

anonymous · Answer

True

You can see from the graphs that if you shift function 4sin(x)-2 in the -3 direction along the x axis, it becomes the same graph as 4sin(x+3)-2

From the general sin equation y=Asin(Bx +C) +D  The viable C is the phase shift. When C is positive the shift is to the left. When C is negative the shift is to the right.