Question

Graph the funxtion y=|x+2|-3

Answer 1

the answer is option a)

this is because at x=0 , y=|0+2|-3=2-3=-1 , so the y-intercept is -1
at y=0 , 0=|x+2|-3 »» |x+2|=3
so this means
x+2=3 and -(x+2)=3
x=1 and -x-2=3 »» -x=5 »» x=-5

so the x-intercept are x=1 and x=-5

Answer 2

first you need to pick a number for y. Lets say you pick 0
Then you need to +3 to each side
Then you can say 3=x+2 or -3=x+2.
To find x you need to subtract 2.
You answer would be (1,3) and (-5.-3)