carmtrod3 carmtrod3
  • 22-04-2024
  • Mathematics
contestada

Equation of a quadratic function with x- intercepts at (3,0) and (-1,0)

Respuesta :

olumideolawoyin
olumideolawoyin olumideolawoyin
  • 22-04-2024

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]

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