Answer:
The correct option is A.
Step-by-step explanation:
The vertex from of a parabola is
[tex]y=a(x-h)^2+k[/tex]
Where, (h,k) is vertex of the parabola and a is a Constant.
From the given graph it is clear that the vertex of the parabola is (1,0) and the y-intercept is (0,1).
The vertex of the parabola is (1,0). Put h=1 and k=0 in the above equation.
[tex]y=a(x-1)^2+0[/tex]
[tex]y=a(x-1)^2[/tex] ... (1)
The graph passing through (0,1).
[tex]1=a(0-1)^2[/tex]
[tex]1=a[/tex]
Put a=1 in equation (1) to find the equation of parabola is
[tex]y=(1)(x-1)^2[/tex]
[tex]y=(x-1)(x-1)[/tex]
Therefore option A is correct.
