Question

label each part of the graph as maximum or minimum, and x - intercept, and y - intercept

Explanation:

Step1: Identify y - intercept

The y - intercept is the point where the graph crosses the y - axis. Here, it is at the point $(0, - 5)$.

Step2: Identify x - intercepts

The x - intercepts are the points where the graph crosses the x - axis. By observing, they are approximately at $x=-3$ and $x = 2$.

Step3: Identify minimum or maximum

Since the parabola opens upwards (the graph has a U - shape), it has a minimum. The minimum occurs at the vertex of the parabola, which is approximately at $(-1,-6)$.

Answer:

• y - intercept: $(0, - 5)$
• x - intercepts: approximately $(-3,0)$ and $(2,0)$
• minimum: approximately at the point $(-1,-6)$

There is no maximum for this upward - opening parabola.