SOLUTION: Sketch the graph of the following functions g(x) = (x - 2)^3 + 2

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Start with the graph of



Since we have this means we shift the graph 2 units to the right.
So shift the graph 2 units to the right like this:

Graph of (red) and (green)

Now since we're adding 2 to to get this means we shift the graph up two units like this

Graph of (red) , (green), and (blue)

So the graph of is

Graph