Can I get help with the one I got wrong please

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]