The graph has only one root because touches the x-axis on only one point then the function has one root
we look the fuction of a parabola like
![(x+a)(x+b)](https://img.qammunity.org/2023/formulas/mathematics/college/v5ba5bezpeduntqotbr37dxvqtnuie0rex.png)
where -a and -b are the roots of the function
on our case we have one root on x=1 then the value of the two number a and b must be the same
then the fuction is
![(x-1)(x-1)](https://img.qammunity.org/2023/formulas/mathematics/college/jntejix093nf696wd3meauxw3iuvp5ca5k.png)
and right option is D