Which graph correctly solves the system of equations below?

y = −x^2 + 3x + 1

y = x^2 + x + 1

A) two quadratic graphs opening up. They intersect at negative 3, 4.

B) quadratic graph opening up and quadratic graph opening down. They intersect at 1, 3 and 0, 1.

C) two quadratic graphs opening down. They intersect at 0, 3.

D) quadratic graph opening up and quadratic graph opening down. They intersect at 1, 4 and 0, 3.