Shifting a graph to a new equation

[Vals509]

Homework Statement

how do you shift the graph y=x^2 to give the equation below

Homework Equations

y = 3(2x+1)^2 + 2

The Attempt at a Solution

I know it involves the following steps:
-shift the graph 2 units up
-shift 1 unit to the left
-dilate to the x-axis scale factor 0.5
-dilate the graph to the y-axis scale factor 3

Can someone pls confirm if the steps are in the right order. Help is greatly appreciated!

 

[HallsofIvy]

Those are the right steps- the order is irrelevant.