# How do you graph #y=2+3 \sin(2(x-1))#?

##### 1 Answer

Nov 23, 2014

**Step 1:** Sketch the graph of

**Step 2:** Horizontally shrink the graph in Step 1 by a factor of 2.

**Step 3:** Vertically stretch the graph in Step 2 by a factor of 3.

**Step 4:** Shift the graph in Step 3 right by 1 unit.

**Step 5:** Shift the graph in Step 4 up by 2 units.

The above is the graph of

I hope that this was helpful.