Question

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

Answer 1

i guess the "parent" is \[g(x)=x^2\]

Answer 2

\[g(x-1) = (x-1)^2 \] shifts the graph right 1

Answer 3

\[3g(x-1)=3(x-1)^2 \] makes it narrower
\[3g(x-1)^2+2=3(x-1)^2+2\] raised it two units up

Answer 4

so i'd put it became narrower and moved one unit to the right and two units up?

Answer 5

and instead of "it" would i say parabola?