Question

y =|x+2| -3 graph the function?

Answer 1

create a table

Answer 2

but first recognize the vertex

Answer 3

you find the x coordinate by solving for the absolute value
x+2=0
x=-2
then plug in x for the whole equation to find y
(-2)+2-3=-3
therefore the coordinates are
-2,-3 for the vertex

Answer 4

then you can plug in any other values of x since there is not a restricted domain.

Answer 5

for example
x=0 plug that in y=-1
x=1 y=0
x=-1 y=-2
therefore you have points
(1,0),(-1,-2),(0,-1),(-2,-3)