In order to write a quadratic equation with the given vertex, let's use the vertex form of the quadratic equation:
[tex]y=a(x-h)^2+k[/tex]Where the coordinates of the vertex are (h, k).
So, using a = 1, we have:
14.
[tex]\begin{gathered} (-4,-3)\colon \\ y=(x-(-4))^2+(-3) \\ y=(x+4)^2-3 \end{gathered}[/tex]15.
[tex]\begin{gathered} (-2,1)\colon \\ y=(x-(-2))^2+1 \\ y=(x+2)^2+1 \end{gathered}[/tex]16.
[tex]\begin{gathered} (3,8)\colon \\ y=(x-3)^2+8 \end{gathered}[/tex]