Question

How do we convert `f(s)=-0.03s^2+2.4s-30` into vertex form?

Answer 1

`f(s)=-0.03(s-40)^2+18`

Explanation:

`f(s)=-0.03s^2+2.4s-30`

= `-0.03(s^2-80s)-30`

= `-0.03(s^2-80s+1600-1600)-30`

= `-0.03(s^2-80s+1600)+1600xx0.03-30`

= `-0.03(s^2-80s+1600)+48-30`

= `-0.03(s-40)^2+18`