Answer:
Vertex form is
[tex]a(x - h) {}^{2} + k = y[/tex]
where (h,k) is the vertex
So our vertex form is
[tex]a(x - 3) {}^{2} + 5 = y[/tex]
It passes through (6,0) so we have
[tex]a(6 - 3) {}^{2} + 5 = 0[/tex]
Solve for a.
[tex]a(3) {}^{2} + 5 = 0[/tex]
[tex]a(9) = - 5[/tex]
[tex]a = \frac{ - 5}{9} [/tex]
So our equation is
[tex] - \frac{5}{9} (x - 3) {}^{2} + 5[/tex]
