CPM Homework Help : PC3 Problem 4-18

Using the graph of $y=f(x)$ at right, describe the transformation and sketch a graph of the transformed function.

$y=f(x+2)+1$

Hint (a):

This transformation is both a horizontal shift and a vertical shift.

$y=2f(x)+2$
Hint (b):
Order of Operations matters!
Vertically stretch this function first, then apply the vertical shift.

$y=-f(x+4)$

Hint (c):

This transformation is a vertical reflection and a horizontal shift.

Piecewise, 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 horizontal to the right.