Respuesta :

fnej

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]

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