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

y = x²-2x+1, 2x-y=2 is the system of equations represented by the graphHow to determine the system of equations represented by the graph?By examining the graph, you will notice that the straight and the curve meet at (3,4) and (1,0) as indicated. The x values of these points of intersection give the solution of the system. Thus:We have x = 3 and x = 1These values can be used to form the equation of the system. Thus:(x-3)(x-1) = 0         (Clear the parenthesis)x² -x-3x +3 = 0 x² -4x +3 = 0Next, we are going to check for the option that gives the x² -4x +3 = 0Given:  y = x²-2x+1, 2x-y=2Rewrite 2x-y=2 to be in form y: y =2x-2We now have  y = x²-2x+1 and  y =2x-2Equate the two y: x²-2x+1 =2x-2 x²-2x+1 -2x+2 = 0 x²- 4x+ 3 = 0Since y = x²-2x+1, 2x-y=2 gives the same equation, therefore, the system of equations represented by the graph is y = x²-2x+1, 2x-y=2. So option D is the answerLearn more system of equations on:https://brainly.com/question/13729904#SPJ1