Question

Graph
`g(x)=(1)/(2)|x+2|-3` as a transformation of
`f(x)=|x|`. Then identify the transformation.

Answer 1

Given: g(x) = 1/2|x + 2| - 3

0 < c < 1 means at the y-axis and makes it smaller

y = cf(x)

1/2 compression

c > 0 means that you move it to the left

y = f(x + c)

2 units to the left

c < 0 means that you move it down

y = f(x) + c

3 units down

Best of Luck!

Answer 2

see below

Explanation:

g(x) = 1/2 | x+2| -3

y = Cf(x) 0 < C < 1 compresses it in the y-direction

y = f(x + C) C > 0 moves it left

y = f(x) + C C < 0 moves it down

1/2 compression in the y direction moved to the left 2 units and down 3 units