Question

1.
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)=x^2−6x+14
h=?

2.
What is the minimum value for g(x)=x^2−10x+16?
y=?

Answer 1

y=x^2-6x+14
=x^2-6x+9-9+14
x^2-3x-3x+9 +5
x(x-3)-3(x-3)+5
(x-3)^2+5
here h=3

minimum value would be 5