Question

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?

Answer 1

The correct answer would be A) Left 3, Up 4.

Answer 2

we have

`f(x)=x^(2)`

This a vertical parabola open upward with a vertex at point
`(0,0)`

and

`g(x)=(x+3)^(2)+4`

This a vertical parabola open upward with a vertex at point
`(-3,4)`

The rule of the transformation is

`f(x)---------> g(x)`

`(x,y)-----> (x-3,y+4)`

that means

Is a translation of
`3` units to the left and
`4` units up

therefore

the answer is

A translation of
`3` units to the left and
`4` units up