Answer
no $x$-intercepts; b.
Work Step by Step
Solve by completing the square and then finding two $x$-values that equal the third term when multiplied and add up to the coefficient of the second term.
$x^2-2x+2$
$x^2-2x+1=-1$
$(x-1)^2=-1$
The graph has no $x$-intercepts because solving for $x$ results in an imaginary number. When graphing, we see that the equation matches graph b.
