Respuesta :

The Solution:

The correct answer is:

[tex]y=-\frac{16}{3}(x+\frac{7}{2})^2[/tex]

Given:

[tex]\begin{gathered} Vertex=(-\frac{7}{2},0) \\ \\ Point=(-\frac{9}{2},-\frac{16}{3}) \end{gathered}[/tex][tex][/tex]

Thus,

Answer:

[tex]\begin{gathered} y=-\frac{16}{3}\left(x+\frac{7}{2}\right)^2 \\ \end{gathered}[/tex]