Answer:
h=3
Step-by-step explanation:
The given function is
[tex]g(x)=x^2-6x+14[/tex]
We add and subtract the square of half the coefficient of x to obtain;
[tex]g(x)=x^2-6x+(-3)^2-(-3)^2+14[/tex]
Identify the first three terms as a perfect square trinomial;
[tex]g(x)=(x-3)^2-9+14[/tex]
Simplify;
[tex]g(x)=(x-3)^2+5[/tex]
Comparing this to
[tex]g(x)=a(x-h)^2+k[/tex]
We have h=3 and k=5
Answer: h=3
the other answer on this page is right
Step-by-step explanation:
