Which system of equations is represented by the graph ?
A. y=x^2+2x+1
2x+y=2
B. y=x^2-2x+1
2x+y=2
C. y=x^2+2x+1
2x+y=2
D. y=x^2-2x+1
2x-y=2

option D, y=x^2-2x+1 , 2x-y=2 represents system of equations .Given:points (1,0) and (3,4)line equation is y - y1 = m(x-x1)y - 0 = 4-0/3-1(x - 1)y = 2(x-1)y = 2x - 22x - y =2.The vertex of the given upward parabola is in the first quadrant so the coefficient of [tex]x^{2}[/tex]  must have positive values.so y = [tex]x^{2} -2x+1[/tex]Therefore option D y=x^2-2x+1 , 2x-y=2 is correct.Learn more about the system of equations here:https://brainly.com/question/12895249#SPJ1