Question

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

Answer 1

B) y= (x – 3)(x + 4)

Explanation:

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

Thus means the x-intercepts are

`x = 3 \: or \: x = - 4`

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

`x - 3 \: and \: x + 4`

The factored form is:

`y = (x - 3)(x + 4)`

The correct answer is B