Question

In need help in this

Answer 1

Answer:

Vertex form is

$a(x - h) {}^{2} + k = y$

where (h,k) is the vertex

So our vertex form is

$a(x - 3) {}^{2} + 5 = y$

It passes through (6,0) so we have

$a(6 - 3) {}^{2} + 5 = 0$

Solve for a.

$a(3) {}^{2} + 5 = 0$

$a(9) = - 5$

$a = \frac{ - 5}{9}$

So our equation is

$- \frac{5}{9} (x - 3) {}^{2} + 5$