Question

What is the vertex of the function y=|x+3| - 2?

1.) (3,-2)
2.) (-3,2)
3,) (-3,-2)
4.) (-2,3)

Answer 1

Answer:#3

Step-by-step explanation: The vertex form of this equation is y= | x-a | + b. So -(-x) would equal x. In the third answer choice, the x coordinate would be represented by a negative 3 (because two negatives make a positive). The y coordinate would be -2 because N + (-2) = N - 2, thus giving the answer of (-3,-2)

I hope this helped!!

Answer 2

3. (-3,-2)

Explanation:

For an absolute value the equation, the transformations are as shown:

y= ±a|b(x-h)|+k.

'h' and 'k' are the vertex coordinates, meaning if y= |x+3|-2:

h= -3

and k= -2

Therefore, we get:

(-3,-2)