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

1 Answer
Sep 28, 2017

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]}