Answer
$\bf graph(b)$
Work Step by Step
Given: $x^2-2x+8=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$x^2+2x-4x+8=0$
or, $(x+2)(x-4)=0$
Now $x+2=0$ and $x-4=0$
Roots are $x=-2,4$.
These values are represented by $\bf graph(b)$