I’m stuck on this question! Can someone please help me?

Question

Given the quadratic function y = 6(x - 4)22

+ 1 , does this function have a minimum or a maximum?

Answer 1

It's an upward opening parabola, which has a local & global minimum at the vertex (4,1) y=1 is the minimum

The parabola has no local or global maximum. But it approaches infinity as a limit when x is increasingly large or small.

range for y is [1, +infinity)