Question

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

Answer 1

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

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.

Answer 2

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)