find the intervals for the function Y=f(x) whose graph is given below is increasing and where it is decreasing and find the value of the absolute minimum

In this problem we have a vertical parabola open upward
the vertex represents the absolute minimum
Looking at the graph
the vertex is the point (1,-3)
therefore
the function is increasing at the interval (1, infinite)
the function is decreasing at the interval (-infinite, 1)
the absolute minimum is (1,-3)