Question

What are the x-intercepts of this quadratic function? g(x) = -2(x − 4)(x + 1) A. (4,0) and (-1,0) B. (-4,0) and (-1,0) C. (4,0) and (1,0) D. (-4,0) and (1,0)

Answer 1

Answer:

Option A. (4,0) and (-1,0)

Step-by-step explanation:

we know that

The equation of a vertical parabola in factored form is equal to

$f(x)=a(x-x_1)(x-x_2)$

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

In this problem we have

$g(x)=-2(x-4)(x+1)$

we have

$a=-2$

The leading coefficient is negative, that means the parabola open downward

The zeros of the function are

$x_1=4\\x_2=-1$

Remember that the x-intercepts are the values of x when the value of the function is equal to zero

therefore

The x-intercepts are (4,0) and (-1,0)

Answer 2

Answer:

(4,0) and (-1,0)