Respuesta :

carlosego

Answer: OPTION C

Step-by-step explanation:

By definition, the roots of the quadratic function are the interceptions of the parabol with the x-axis.

As you can see in the graph, the parabola intersects the x-axis at:

[tex]x=-5\\x=1[/tex]

Then these are the roots.

Therefore, this means that:

[tex]x=-5\\x+5=0\\\\x=1\\x-1=0[/tex]

So, the factorization is the following:

[tex](x+5)(x-1)=0[/tex]

kudzordzifrancis

ANSWER

[tex]y = (x + 5)(x - 1)[/tex]

EXPLANATION

From the graph, the x-intercepts are

[tex]x = 1[/tex]

and

[tex]x = - 5[/tex]

This implies that (x-1) and (x+5) are factors of the function represented by the graph.

Therefore we factor the function as

[tex]y = (x + 5)(x - 1)[/tex]

The correct choice is C.

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