Answer:
[tex]y = {x}^{2} - 2x - 3 [/tex]
Step-by-step explanation:
General equation of quadratic;
[tex]y = (x - a)(x - b)[/tex]
where a = 3 and b = -1 are the x - intercepts.
y = (x - 3)(x -(-1))
y = (x - 3)(x + 1)
[tex]y = {x}^{2} + x - 3x - 3[/tex]
[tex]y = {x}^{2} - 2x - 3 [/tex]
