Question

Find the coordinates of the vertex of g(x) = |x + 1| - 2.

A. (-2, -1)
B. (-2, 1)
C. (-1, -2)
D. (1, -2)

Answer 1

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!

Answer 2

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

Explanation:

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

The vertex of g(x) = |x | is ( 0,0)

y = f(x) + C C < 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)