Find the points of intersection of the graphs of the equations.

Question

x = 3 − y^2
y = x − 1

Answer 1

from the 2nd :
y = x − 1
x = y+1
sub that into the first:
y+1 = 3-y^2
y^2 + y - 2 = 0
(y+2)(y-1) = 0
so y = -2 or y = 1

if y = -2, x = -2+1 = -1, so they intersect at (-1,-2)
if y = 1, x = 1+1 = 2, and they intersect at (2,1)

verification:

Answer 2

verification:
http://www.wolframalpha.com/input/?i=plot+x+%3D+3+%E2%88%92+y%5E2+,+y+%3D+x+%E2%88%92+1

Answer 3

Thank you I understand now