CPM Homework Help : PC Problem 3-79

The graphs of $f\left(x\right)$ and $g\left(x\right)$ are shown below. Find an expression in terms of $f\left(x\right)$ that will transform the graph into $g\left(x\right)$ .

Continuous piece wise labeled, f of x, left piece, parabola coming from lower left, passing through (negative 3, comma negative 1), vertex at (negative 1, comma 3), changing to a ray at the point (1, comma negative 1), continuing up & right passing through (3, comma 3).

Continuous piece wise labeled, g of x, left piece, parabola coming from upper left, passing through (0, comma 2), vertex at (2, comma negative 2), changing to a ray at the point (4, comma 2), continuing down & right passing through (6, comma negative 2).