Describe the sequence of transformations from the parent to the given function: f(x)=3(x-1)^2+2 help!!

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Describe the sequence of transformations from the parent to the given function: f(x)=3(x-1)^2+2 help!!

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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i guess the "parent" is \[g(x)=x^2\]
\[g(x-1) = (x-1)^2 \] shifts the graph right 1
\[3g(x-1)=3(x-1)^2 \] makes it narrower \[3g(x-1)^2+2=3(x-1)^2+2\] raised it two units up

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so i'd put it became narrower and moved one unit to the right and two units up?
and instead of "it" would i say parabola?

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