Respuesta :

Answer: the vertex form is y=(x+4)^2+-19

Step-by-step explanation: correct on E2020

The vertex form of the function is  [tex]y=(x+4)^{2}-19[/tex]

Vertex form of function:

The vertex form of the equation is written as,

                       [tex]y=(x+h)^{2}+k[/tex]

Given function is,

                      [tex]y=x^{2} +8x+16-3-16[/tex]

It is observed that,  [tex]x^{2} +8x+16=(x+4)^{2}[/tex]

So that, we can write as above function,

                       [tex]y=(x+4)^{2}-3-16\\ \\y=(x+4)^{2}-19[/tex]

Learn more about the quadratic function here:

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