Question

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

Answer 1

We have 
−x² − 3x − 1 = −x − 4

let 
f(x)=−x² − 3x − 1
g(x)= −x − 4
the solution for
f(x)=g(x) is the intersection both graphs

using a graph tool
see the attached figure

the solution are the points
(-3,-1)
and
(1,-5)

Answer 2

Answer:

(-3,-1) and (1,-5)

Step-by-step explanation:

Given : $-x^2 -3x - 1 = -x -4$

Let f(x)= $-x^2-3x-1$

Let g(x)=$-x-4$

Plot these graphs using graphical tool .

The intersection point of these two equations will be the solution .

Refer the attached graph.

Thus the intersection points are (-3,-1) and (1,-5)

So, the solution is (-3,-1) and (1,-5)

Thus the graph which gives the correct solution is attached below.