Solve the quadratic equation y=|x-3|+1

This is not a quadratic equation. It is an absolute value equation. It also cannot be solved, but rather is typically graphed on a coordinate plate. That is unless given a value for y or x to solve for. 

Answer to your question: a. the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are ​ x=1±i7√2 .number of roots=degree of polynomialhere, degree of polynomial is 2 so number of roots will be 2.hope it *_*