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5) The graph of a qudratic equation has zeros
of (3, 0) and (-4, 0). Which answer could
be the equation described?
A) y=4x² – 3
B) y= (x – 3)(x + 4)
C) y=(x + 3)(x – 4)
D) y = 3x2 - 4

Respuesta :

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Answer:

B) y= (x – 3)(x + 4)

Step-by-step explanation:

The graph of a qudratic equation has zeros of (3, 0) and (-4, 0).

Thus means the x-intercepts are

[tex]x = 3 \: or \: x = - 4[/tex]

By the factor theorem, the factors of the associated function are:

[tex]x - 3 \: and \: x + 4[/tex]

The factored form is:

[tex]y = (x - 3)(x + 4)[/tex]

The correct answer is B

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