Question

In need help in this

Answer 1

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 = ( - 5)/(9)`

So our equation is

`- (5)/(9) (x - 3) {}^(2) + 5`