CPM Homework Help : INT3 Problem 4-131

Given the graph of $y=f(x)$ at right, sketch each of the following transformations.

$y=-2f(x)$
Hint (a):
Pick out key points on the graph. Multiply the $y$ -coordinate of each point by $−2$ and graph the new point.
$y=f(x-1)-3$
Hint (b):
Translate the graph right $1$ unit and down $3$ units.
$y=f(-x)$
Hint (c):
Think about a blank graph. How are the positive $x$ -values related to the negative $x$ -values?

Piecewise graph, 3 sections: left section, ray starting at the point (negative 2, comma 0), going left & down, passing through the point (negative 5, comma negative 3). Middle section, semi circle, from the point (negative 2, comma 0), passing through (0, comma 2), to the point (2, comma 0). Right section: ray from the point (2, comma 0), going right & up, passing through the point (5, comma 3).