Question

What is the vertex form of `y= 3x^2 - 14x - 24`?

Answer 1

Vertex form of given equation is `y=3(x-7/3)^2-121/3` and vertex is `(7/3,-121/3)`

Explanation:

Vertex form of such a quadratic equation is `y=a(x-h)^2+k`, where vertex is `(h,k)`.

As `y=3x^2-14x-24`, can be written as

`y=3(x^2-14/3x)-24`

or `y=3(x^2-2xx7/3xx x+(7/3)^2-49/9)-24`

or `y=3(x-7/3)^2-49/3-24`

or `y=3(x-7/3)^2-121/3` and vertex is `(7/3,-121/3)`