Answer:
[tex]y = -x^2+3x+4[/tex]
Step-by-step explanation:
( -1, 0) , (0, 4) , (4, 0)
y = a(x − b)(x − c)
x-intercept = -1
x = -1
(x + 1) = 0
x-intercept = 4
x = 4
(x - 4) = 0
y = (x + 1)(x - 4)
4 = a(0 + 1)(0 - 4)
4 = a (1)(-4)
4 = -4a
a = -1
y = -1(x + 1)(x - 4)
[tex]y = -x^2+3x+4[/tex]
