Question

What is the vertex form of `y= x^2 - 9x+36`?

Answer 1

Vertex form of equation is `y =(x-4.5)^2+15.75`

Explanation:

`y=x^2-9x+36 or y=(x^2-9x+4.5^2)-4.5^2+36` or

`y=(x-4.5)^2-20.25+36 or y=(x-4.5)^2+15.75`

Comparing with vertex form of equation

`y = a(x-h)^2+k ; (h,k)` being vertex we find here

`h=4.5 , k=15.75,a=1 :.` Vertex is at `(4.5,15.75)` and vertex

form of equation is `y =(x-4.5)^2+15.75` [Ans]