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

Question

2233 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-17T12:51:19

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

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 $(7/3,-121/3)$

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