Respuesta :

Answer:

See attachment

Step-by-step explanation:

A function is given to us and we need to tell which graph represents the given function. The function given to us is,

[tex]\tt: \implies f(x) = -( x + 3 )( x + 1 ) [/tex]

Let's find out at which points do the graph Intersects x axis / finding the roots. For that substitute f(x) = 0 , we have ,

[tex]\tt: \implies -(x +3)( x + 1 ) = 0 [/tex]

Equate each factor by 0 ,

[tex]\tt: \implies \boxed{\blue{ \tt x = -1,-3 }} [/tex]

Therefore the graph will intersect x axis at x is equal to -1 and x is equal to -3 .

On looking at the given graphs in the options the second graph intersects x axis at -1 and -3 .

Hence the second option is correct .

{ See attachment }

Ver imagen VirαtKσhli

The graph of the function is graph (b)

The function is given as:

f(x) = -(x + 3)(x + 1)

The above equation means that:

  • The function is a quadratic function
  • The function is reflected across the x-axis
  • The function has its zeros at x = -3 and x = 1

Hence, the graph of the function is graph (b)

Read more about quadratic functions at:

https://brainly.com/question/1214333