Question

Which of the graphs below correctly solves for x in the equation −x2 − 3x − 1 = −x − 4?

Answer 1

Answer:

Graph of quadratic opening downward and linear sloping up to the left. They intersect at point negative 3, negative 1 and point 1, negative 5

Step-by-step explanation:

we have

$-x^{2} -3x-1=-x-4$

we can separate the expression above into two equations

$y=-x^{2} -3x-1$ ----> equation A

This is a quadratic equation ( vertical parabola) open downward (the leading coefficient is negative)

$y=-x-4$ ----> equation B  

This is a linear equation with negative slope (decreasing function).so linear sloping up to the left

The solution of the original expression are the x-coordinates of the intersection point both graphs

using a graphing tool

The intersection points are (-3,-1) and (1,-5)

see the attached figure