Question

Which graph correctly solves the system of equations below?

y = −x2 + 3x + 1
y = x2 + x + 1

Answer 1

-x² + 3x + 1 = x² + x + 1

2x² - 2x = 0

2x(x - 1) = 0

2x = 0 or x - 1 = 0

x = 0 or x = 1

The graphs intersect at (0, 1) and at (1, 3).