Question

Which inequality is graphed?

y> |x + 2| – 3

y < |x – 2| – 3

y > |x + 2| + 3

y < |x – 2| + 3

Answer 1

the graph is of y=|x| shifted to the left two units and down three units.

y = |x - h| + k h = -2 (units to the left), k = -3 (units up)
y = |x - (-2)| - 3
y = |x + 2| - 3

we're only dealing with the values larger than of the function
y > |x + 2| - 3

Answer 2

I should say, h = -2 is the units to the right, since we are going further from the right by going left. just correcting myself there