Question

does this parabola have a minimum or maximum?
maximum
minimum
rewatch

Explanation:

Step1: Analyze the parabola's direction

A parabola opens upward (has a minimum) if the coefficient of \(x^2\) is positive, and opens downward (has a maximum) if the coefficient is negative. From the graph, the parabola opens downward (it "opens" like a hill, not a valley).

Step2: Determine minimum or maximum

Since the parabola opens downward, it has a highest point (vertex) which is a maximum. If it opened upward, it would have a minimum (lowest point).

Answer:

Maximum (the checkbox next to "Maximum" should be selected)