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Respuesta :

The general equation for the vertex form of parabola is,

[tex]y=a(x-h)^2+k[/tex]

Simplify the equation to obtain the vertex form of parabola equation.

[tex]\begin{gathered} y=x^2+16x+71 \\ y=x^2+2\cdot x\cdot8+(8)^2-(8)^2+71 \\ y=(x+8)^2-64+71 \\ y=(x+8)^2+7 \\ y=1\cdot(x+8)^2+7 \end{gathered}[/tex]

So vertex form of parabola equation is,

[tex]y=1(x+8)^2+7[/tex]

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