Question

draw
absolute minimum:
absolute maximum:

Explanation:

Step1: Analyze the graph

The graph is a parabola opening down - ward.

Step2: Identify the absolute maximum

The highest point of the graph gives the absolute maximum. It is at the vertex of the parabola. From the graph, the vertex is around $(5, - 2)$. So the absolute maximum is $y=-2$.

Step3: Consider the absolute minimum

Since the parabola opens downward and extends to negative infinity in the $y -$direction, there is no absolute minimum (the function value can get as small as we want in the negative $y -$direction). We can say the absolute minimum is $-\infty$.

Answer:

Absolute minimum: $-\infty$
Absolute maximum: $- 2$