Question

Which of the following is a point on the graph as described by the function y=(2x+1)2−4 ?(1 point) Responses

(−1,−5) (0,−2) (1,2) (−1,−3)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the point on the graph described by the function y=(2x+1)2−4, we can substitute the given x-coordinates into the equation and solve for the corresponding y-coordinates.

1. For the point (-1,-5):
Substituting x = -1 into the equation gives us y = (2(-1)+1)^2 - 4 = (-2+1)^2 - 4 = (-1)^2 - 4 = 1 - 4 = -3.
The y-coordinate obtained does not match the given y-coordinate of -5, so (-1,-5) is not a point on the graph.

2. For the point (0,-2):
Substituting x = 0 into the equation gives us y = (2(0)+1)^2 - 4 = (0+1)^2 - 4 = 1^2 - 4 = 1 - 4 = -3.
The y-coordinate obtained does not match the given y-coordinate of -2, so (0,-2) is not a point on the graph.

3. For the point (1,2):
Substituting x = 1 into the equation gives us y = (2(1)+1)^2 - 4 = (2+1)^2 - 4 = 3^2 - 4 = 9 - 4 = 5.
The y-coordinate obtained matches the given y-coordinate of 2, so (1,2) is a point on the graph.

4. For the point (-1,-3):
Substituting x = -1 into the equation gives us y = (2(-1)+1)^2 - 4 = (-2+1)^2 - 4 = (-1)^2 - 4 = 1 - 4 = -3.
The y-coordinate obtained matches the given y-coordinate of -3, so (-1,-3) is a point on the graph.

Therefore, the point (1,2) and (-1,-3) are both points on the graph as described by the function y=(2x+1)2−4.

Answer 2

which one?

Answer 3

[AI-generated answer — Bot GPT 3.5]

The point on the graph as described by the function y=(2x+1)2−4 is (1,2).

Answer 4

Which of the following are the two quantities whose functional relationship is described in the given graph? (1 point) Responses The two quantities are inches and months of the year. The two quantities are inches and months of the year. The two quantities are the average rainfall in inches and the years. The two quantities are the average rainfall in inches and the years. The two quantities are the x-values and the y-values. The two quantities are the x -values and the y -values. The two quantities are the average rainfall in inches and the month of the year.

Answer 5

[AI-generated answer — Bot GPT 3.5]

Based on the information provided, the two quantities described in the given graph are the average rainfall in inches and the months of the year.

Answer 6

Consider the given graph. Analyze the intervals during the months from June to December and describe how that corresponds to the average rainfall. (1 point) Responses the average rainfall remains constant the average rainfall remains constant the average rainfall increases then decreases the average rainfall increases then decreases the average rainfall increases the average rainfall increases the average rainfall decreases

Answer 7

[AI-generated answer — Bot GPT 3.5]

To analyze the intervals during the months from June to December on the given graph and describe how it corresponds to the average rainfall, we need to observe the trend of the graph.

Based on the information provided, we do not have access to the actual graph or any specific data points. Without this information, it is not possible to accurately determine the behavior of the average rainfall during the months from June to December.

Therefore, without further data or details, we cannot determine whether the average rainfall remains constant, increases then decreases, increases, decreases, or any other specific trend during the months from June to December.