The graph shows the system {y=2x+1y=2x2+1 . which ordered pairs are solutions of the system? (0, 0) and (0, 1) (0, 0) and (1, 0) (1, 0) and (1, 3)(0, 1) and (1, 3)

We have system:
y=2x+1
y=2x^2+1

To find which ordered pair is solution to this system we need to solve system for x and y.
Left sides are same so the right sides must be same too.
2x+1=2x^2+1
2x-2x^2+1-1=0
2x-2x^2=0
2x(1-x)=0

x1=0
x2=1
y1=2*0+1=1
y2=2*1+1=3

The solution are pairs (0,1) and (1,3).