Which of the following is correct?

Question

(1 point)
Responses

(0.5,9) is the high point on the parabola.
left parenthesis 0.5 comma 9 right parenthesis  is the high point on the parabola.

(0.25,8.375) is the low point on the parabola.
left parenthesis 0.25 comma 8.375 right parenthesis  is the low point on the parabola.

(0.25,8.375) is the high point on the parabola.
left parenthesis 0.25 comma 8.375 right parenthesis  is the high point on the parabola.

(−1,−1) is the low point on the parabola.

Answer 1

The correct response would depend on the specific characteristics of the parabola in question. Typically, a parabola can have either a high point (maximum) or a low point (minimum), depending on whether it opens upwards or downwards.

• If the parabola opens upwards, it has a low point (the vertex) and we would be looking for the coordinates of that vertex to identify the correct statement about it being the low point.
• If the parabola opens downwards, it has a high point (the vertex) and we would be looking for the coordinates of that vertex for the statement about it being the high point to be true.

Without additional context about the parabola (equation or direction), we can't definitively say which statement is correct. However, it appears that you present statements in both forms (high and low) for specific points.

If you know whether the parabola opens upwards or downwards, you can choose the appropriate answer accordingly. Please provide more information about the parabola to determine the correct statement.

Answer 2

What’s the answer

Answer 3

Based on your list of responses and assuming we need to find the correct statement without further context about the parabola itself, typically we analyze the characteristics:

1. (0.5, 9) is the high point on the parabola.
2. (0.25, 8.375) is the low point on the parabola.
3. (0.25, 8.375) is the high point on the parabola.
4. (−1, −1) is the low point on the parabola.

To determine which of these statements is correct, we focus on whether the parabola is a maximum (opens downward) or minimum (opens upward):

• (0.5, 9) being described as a high point implies that the parabola opens downward. This makes statement 1 potentially correct if the vertex is indeed at that point.
• (0.25, 8.375) being described as a low point implies that the parabola opens upward. This makes statement 2 potentially correct if this is the vertex of the parabola.
• If you're saying both of these points (0.5, 9) and (0.25, 8.375) are high or low points, you'd need to determine which is the actual vertex based on the parabola's equation or direction.
• Finally, (−1, −1) being a low point would indicate it is part of an opening upward parabola.

In summary, without additional context (like the parabola's equation), I cannot definitively say which statement is correct. However, if I had to choose based on typical properties:

• If the parabola opens upwards, then "left parenthesis 0.25 comma 8.375 right parenthesis is the low point on the parabola." would be correct.
• If the parabola opens downwards, then "left parenthesis 0.5 comma 9 right parenthesis is the high point on the parabola." would be correct.

Please check the equation of the parabola to determine whether it opens upwards or downwards to conclude with certainty which statement is true. If you know that information, please share it for a more definite answer!