Which statement correctly describes the relationship between $f(x) = x^2$ and $g(x) = (x - 2)^2 + 8$?

The vertex moves left $2$ and up $8$, and the parabola is wider.

The vertex moves right $2$ and up $8$, and the shape is unchanged.

The vertex moves right $2$ and down $8$, and the parabola is narrower.

The vertex moves left $2$ and down $8$, and the shape is unchanged.

10-2 Transformations of Quadratic Functions Practice — Grade 9 math