Which of the following is correct?

Question

A) (−1, −1) is the low point on the parabola.
B) (0.25, 8.375) is the low point on the parabola.
C) (0.25, 8.375) is the high point on the parabola.
D) (0.5, 9) is the high point on the parabola.

Answer 1

To determine which statement is correct, we need to analyze the nature of the parabola being referred to. Parabolas can open upwards (having a low point, or vertex) or downwards (having a high point, or vertex).

1. If a parabola opens upwards, the vertex represents the low point.
2. If a parabola opens downwards, the vertex represents the high point.

The points given in the options might relate to the vertex of a specific parabola, but we need the equation of the parabola to provide an accurate determination. Since the equation is not provided, we will consider each option abstractly.

For the actual determination:

• If we assume a specific parabola and find its vertex, we can classify the vertex as a high or low point based on the parabola's orientation.
• Compare the provided points to determine which one matches with an identified vertex.

Without additional context or the equation of the parabola, we cannot definitively assess the correctness of any of the statements as they heavily depend on the specific characteristics of the parabola involved.

To conclude, if you have the equation of the parabola, please provide it, and I can help you identify which statement is correct based on that information.