Find the coordinates of the vertex of g(x) = |x + 1| - 2. A. (-2, -1)
B. (-2, 1)
C. (-1, -2)
D. (1, -2)

The vertex will be at ( -1,-2)

Step-by-step explanation:

g(x) = |x + 1| - 2.

The vertex of g(x) = |x |  is ( 0,0)

y = f(x) + CC < 0 moves it down  

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

We shift this  to the left 1 unit and down 2 units

( 0 -1, 0-2)

The vertex will be at ( -1,-2)

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

We start at g(x) = |x| at (0, 0)

c < 0 moves it down

y = f(x) + c

2 units down

c > 0 moves it left

y = f(x + c)

1 unit to the left

After the shift, we see the vertex being at (-1, -2).

Best of Luck!

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step-by-step explanation:

ummm seems that u didnt post the attachement !