### Home > A2C > Chapter 8 > Lesson 8.2.1 > Problem 8-117

8-117.

The graph below was made by shifting the first cycle of

*y*= sin*x*to the left. 8-117 HW eTool (Desmos). Homework Help ✎How many units to the left was it shifted?

Figure out how to change the equation of

*y*= sin*x*so that the graph of the new equation will look like the one in part (a). If you do not have a graphing calculator at home, sketch the graph and check your answer when you get to class.

It is shifted π units to the left.

In the general equation *y* = sin(*x* − *h*) + *k*, which parameter moves the graph horizontally?

Use the eTool below to compare the graph with its parent graph.

Click the link at right for the full version of the eTool: A2C 8-117 HW eTool