Question

find the values of the absolute maximum and minimum for the following quadratic function. enter dne if the parabola does not have a maximum or minimum value. draw absolute minimum: absolute maximum: check

Explanation:

Step1: Analyze the parabola's direction

The parabola opens upwards (since it has a minimum point and the arms go up), so it has an absolute minimum and no absolute maximum (as it extends to infinity upwards).

Step2: Identify the minimum point

From the graph, the vertex (minimum point) is at \((-5.00, -4.00)\), so the absolute minimum value is the \(y\)-coordinate of the vertex. The absolute maximum does not exist (DNE) because the parabola opens upwards and has no upper bound.

Answer:

Absolute minimum: \(-4\)
Absolute maximum: DNE