Respuesta:
[tex]V ( 0,2 )[/tex]
Explicación paso a paso:
[tex]y^{2} +8x + 4 = 4y[/tex]
completando cuadrado:
[tex]y^{2} -4y = -8x-4[/tex]
[tex]y^{2} -4y + ( \frac{4}{2} )^{2} = -8x - 4 + ( \frac{4}{2})^{2}[/tex]
[tex]y^{2} -4y + (2)^{2} = -8x -4 + ( 2 )^{2}[/tex]
[tex]y^{2} -4y + 4 = -8x -4 + 4[/tex]
[tex]( y - 2 )^{2} = -8x[/tex]
[tex]( y-2 )^{2} = -8 ( x- 0 )[/tex]
[tex]Vertice: V( h,k) = V ( 0, 2 )[/tex]