Final answer:
The graph of y = -x² + 1 is shown. Then the accurate statement about the graph is that Point B is a turning point of the graph.
The answer is option ⇒2
Step-by-step explanation:
ooking at the graph of y = -x² + 1, we can determine the following:
Option 1: Point A is a relative minimum of the graph.
This statement is not accurate. In the given graph, there is no point that corresponds to a relative minimum. A relative minimum occurs when the graph is at its lowest point in a specific interval, and in this case, the graph continuously decreases without reaching a minimum.
Option 2: Point B is a turning point of the graph.
This statement is accurate. Point B represents a turning point on the graph. At this point, the graph changes from decreasing to increasing or vice versa. In this case, the graph changes from decreasing to increasing, so Point B is a turning point.
Option 3: Point C is a maximum of the graph.
This statement is not accurate. The graph does not have a maximum point. The graph is a downward-opening parabola, which means it continuously decreases and does not have a maximum point..
Option 4: Point D is a y-intercept of the graph.
This statement is accurate. Point D represents the y-intercept of the graph. The y-intercept is the point where the graph intersects the y-axis. In this case, the graph intersects the y-axis at y = 1, so Point D is the y-intercept.
Therefore, the accurate statement about the graph is:
Option 2: Point B is a turning point of the graph.
The answer is option ⇒2