ANSWER
C.
[tex]y = - (x + 1)(x - 3).[/tex]
EXPLANATION
The roots of the graph are;
x=-1 and x=3.
The factors of the function are,
[tex]y = a(x + 1)(x - 3)[/tex]
To find the value of a, we substitute the y-intercept (0,3).
[tex]3= a(0+ 1)(0 - 3)[/tex]
[tex]3 = - 3a[/tex]
[tex]a = - 1[/tex]
The correct equation is therefore,
[tex]y = - (x + 1)(x - 3)[/tex]
