Question

How do you find the important points to graph `y = -2 sqrt(x + 2)`?

Answer 1

Most important point is when `y=0`

Explanation:

This happens when `x=-2-> (-2,0)`

`x>=-2` otherwise the argument would become negative (not allowed).

Then you can set up a table with `x`'s chosen so that the argument becomes a square:
E,g.:
`x=-1->y=-2sqrt(-1+2)=-2->(-1,-1)`
`x=2->y=-2sqrt(2+2)=-4->(2,-4)`
`x=7->y=-2sqrt(7+2)=-6->(7,-6)`
Etc.
graph{-2sqrt(x+2) [-5.46, 14.54, -8.72, 1.28]}