CPM Homework Help : PC Problem 3-44

In the graphs below, $g\left(x\right)$ is a transformation of $f\left(x\right)$ . Find an expression for $g\left(x\right)$ in terms of $f\left(x\right)$ .

Piecewise graph, labeled, f of x, with 4 continuous linear pieces, beginning from the left side, horizontal to the point (negative 1, comma 2), falling to the point (2, comma negative 1), rising to the point (5, comma 2), then continuing horizontally to the right.

Piecewise graph, labeled, g of x, with 4 continuous linear pieces, beginning from the left side, horizontal to the point (negative 2, comma 5), falling to the point (1, comma 2), rising to the point (4, comma 5), then continuing horizontally to the right.

Hint:

From inspection, there is a vertical stretch by $2$ , then minimum point is shifted to the left $1$ unit and a vertical shift of $2$ units.

Use the eTool below to explore these graphs.
Click on the link to the right to view the full version of the eTool: PCT 3-44 eTool