Given that f is a quadratic function with minimum f(x)=f(6)=1​, find the​ axis, vertex, range and​ x-intercepts.

Question

Given that f is a quadratic function with minimum f(x)=f(6)=1​, find the​ axis, vertex, range and​ x-intercepts.

Answer 1

If the minimum as at (6, 1) then the vertex is at (6, 1)

f(x) = a(x - 6)² + 1

Without additional points no more information can be determined.