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

Explanation:

Answer 2

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

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)