Answer
(a) $y = |x − 1|$
$y = |(−x) − 1| = |x + 1|$ (Reflecting about the $y$-axis)
$y = 2|x + 1|$ (Strecthing the a factor of 2)
$y = 2|x + 1| − 3$ (Translating that graph down 3 units)
$y = −2|x + 1| + 3$ (Reflecting that graph about the x-axis)
(b) Refer to the graph in the picture below
Work Step by Step
Refer to the answer for more information