Question

What is the value of h when the function is converted to vertex form? Note: Vertex form is g(x)=a(x−h)2+k . g(x)=x2−6x+14 Enter your answer in the box. h =

Answer 1

Answer: h=3

the other answer on this page is right

Explanation:

Answer 2

h=3

Explanation:

The given function is

`g(x)=x^2-6x+14`

We add and subtract the square of half the coefficient of x to obtain;

`g(x)=x^2-6x+(-3)^2-(-3)^2+14`

Identify the first three terms as a perfect square trinomial;

`g(x)=(x-3)^2-9+14`

Simplify;

`g(x)=(x-3)^2+5`

Comparing this to

`g(x)=a(x-h)^2+k`

We have h=3 and k=5