To find if a point is on the graph of the function y = (2x+1)^2 - 4, we can substitute the x and y values into the equation and see if they satisfy the equation.
A. (0, -2):
y = (2(0) + 1)^2 - 4
y = (1)^2 - 4
y = 1 - 4
y = -3
Since the y-value of the point (0, -2) is not equal to -3, point (0, -2) is not on the graph of the function.
B. (1, 2):
y = (2(1) + 1)^2 - 4
y = (2 + 1)^2 - 4
y = (3)^2 - 4
y = 9 - 4
y = 5
Since the y-value of the point (1, 2) is not equal to 5, point (1, 2) is not on the graph of the function.
C. (-1, -5):
y = (2(-1) + 1)^2 - 4
y = (-2 + 1)^2 - 4
y = (-1)^2 - 4
y = 1 - 4
y = -3
Since the y-value of the point (-1, -5) is not equal to -3, point (-1, -5) is not on the graph of the function.
D. (-1, -3):
y = (2(-1) + 1)^2 - 4
y = (-2 + 1)^2 - 4
y = (-1)^2 - 4
y = 1 - 4
y = -3
Since the y-value of the point (-1, -3) is equal to -3, point (-1, -3) is on the graph of the function.
Therefore, the correct point on the graph of the function is D. (-1, -3).
Which of the following is a point on the graph as described by the function y = (2x+1) 2 − 4?
A. (0,−2)
B. (1,2)
C. (−1,−5)
D. (−1,−3)
11 answers
Which of the following is the graph of the function y=x+2?
A. An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
B. An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 5 to 5 in one unit increments. A parabola opening upward is graphed on the coordinate plane. The parabola is formed by connecting points plotted at left parenthesis negative 4 comma 2 right parenthesis, left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
C. An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A circle is graphed on the coordinate plane. The circle is formed by connecting points plotted at left parenthesis negative 2 comma 0 right parenthesis, left parenthesis 0 comma 2 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.
D. An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis 0 comma 2 right parenthesis and left parenthesis 2 comma 0 right parenthesis.
A. An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
B. An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 5 to 5 in one unit increments. A parabola opening upward is graphed on the coordinate plane. The parabola is formed by connecting points plotted at left parenthesis negative 4 comma 2 right parenthesis, left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
C. An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A circle is graphed on the coordinate plane. The circle is formed by connecting points plotted at left parenthesis negative 2 comma 0 right parenthesis, left parenthesis 0 comma 2 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.
D. An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis 0 comma 2 right parenthesis and left parenthesis 2 comma 0 right parenthesis.
A. The graph described here is an upward slanting line passing through points (-2, 0) and (0, 2). This does not match the equation y = x + 2.
B. The graph described here is a parabola opening upward passing through points (-4, 2), (-2, 0), and (0, 2). This also does not match the equation y = x + 2.
C. The graph described here is a circle passing through points (-2, 0), (0, 2), and (2, 0). This does not match the equation y = x + 2.
D. The graph described here is a downward slanting line passing through points (0, 2) and (2, 0). This does not match the equation y = x + 2.
None of the given options describe the graph of the function y = x + 2.
B. The graph described here is a parabola opening upward passing through points (-4, 2), (-2, 0), and (0, 2). This also does not match the equation y = x + 2.
C. The graph described here is a circle passing through points (-2, 0), (0, 2), and (2, 0). This does not match the equation y = x + 2.
D. The graph described here is a downward slanting line passing through points (0, 2) and (2, 0). This does not match the equation y = x + 2.
None of the given options describe the graph of the function y = x + 2.
Just choose one
Based on the options provided, none of them describe the graph of the function y = x + 2.
Just choose one, it's obviously one of them
A. An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
This option, with an upward slanting line passing through points (-2, 0) and (0, 2), represents the graph of the function y = x + 2.
This option, with an upward slanting line passing through points (-2, 0) and (0, 2), represents the graph of the function y = x + 2.
Use the image to answer the question.
A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
Which of the following are the two quantities whose functional relationship is described in the given graph?
A. The two quantities are the average rainfall in inches and the years.
B. The two quantities are inches and months of the year.
C. The two quantities are the average rainfall in inches and the month of the year.
D. The two quantities are the x-values and the y-values.
A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
Which of the following are the two quantities whose functional relationship is described in the given graph?
A. The two quantities are the average rainfall in inches and the years.
B. The two quantities are inches and months of the year.
C. The two quantities are the average rainfall in inches and the month of the year.
D. The two quantities are the x-values and the y-values.
C. The two quantities are the average rainfall in inches and the month of the year.
The graph shows the relationship between the average rainfall (in inches) and the month of the year, as the curve is plotted based on the average rainfall for each month.
The graph shows the relationship between the average rainfall (in inches) and the month of the year, as the curve is plotted based on the average rainfall for each month.
Use the image to answer the question.
A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
Consider the given graph. Analyze the intervals during the months from June to December and describe how that corresponds to the average rainfall.
A. the average rainfall increases
B. the average rainfall decreases
C. the average rainfall increases then decreases
D. the average rainfall remains constant
A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
Consider the given graph. Analyze the intervals during the months from June to December and describe how that corresponds to the average rainfall.
A. the average rainfall increases
B. the average rainfall decreases
C. the average rainfall increases then decreases
D. the average rainfall remains constant
C. The average rainfall increases then decreases
Analyzing the data from June to December:
- June: 0.2 inches
- July: 0.45 inches (increase)
- August: 0.55 inches (further increase)
- September: 0.7 inches (continued increase)
- October: 1.6 inches (significant increase)
- November: 2.4 inches (further increase)
- December: 3.2 inches (peak)
From June to December, the average rainfall first increases from June to November and then decreases from November to December, showing an overall pattern of increase followed by decrease.
Analyzing the data from June to December:
- June: 0.2 inches
- July: 0.45 inches (increase)
- August: 0.55 inches (further increase)
- September: 0.7 inches (continued increase)
- October: 1.6 inches (significant increase)
- November: 2.4 inches (further increase)
- December: 3.2 inches (peak)
From June to December, the average rainfall first increases from June to November and then decreases from November to December, showing an overall pattern of increase followed by decrease.
1 answer