Question

determine the domain on which the following function is increasing.

Explanation:

Step1: Identify vertex of parabola

The parabola has its minimum (vertex) at $x=4$.

Step2: Determine increasing interval

For a parabola opening upward, the function increases to the right of the vertex. So the domain is all $x$ greater than 4.

Answer:

$x > 4$ or in interval notation: $(4, \infty)$