Using a scale of 2cm to 1unit on the c-axis and 2cm to 1unit on the y-axis.plot this graph using a graph book with the following numbers:x=-3,-2,-1, 0,1,2. Y=-5,-2,1,4,7,10
To plot this graph, follow these steps:
Step 1: Draw the x-axis and label it with the given numbers: -3, -2, -1, 0, 1, 2.
Step 2: Draw the y-axis and label it with the given numbers: -5, -2, 1, 4, 7, 10.
Step 3: Now, starting with the point (-3, -5), use the scale of 2cm to 1 unit on the c-axis and 2cm to 1 unit on the y-axis to plot the point on the graph. In this case, this means shifting 3 units to the left since x = -3, and shifting 5 units down since y = -5. Mark this point on the graph.
Step 4: Repeat step 3 for the remaining points: (-2, -2), (-1, 1), (0, 4), (1, 7), (2, 10).
Step 5: Connect the points with a smooth line to complete the graph.
Your graph should now be complete, showing the plotted points and connecting them with a line. Remember to use the scale of 2cm to 1 unit on both axes for accurate measurements.
To plot the graph, we will start by labeling the x-axis and y-axis according to the given scale.
On the c-axis (x-axis):
- We will label each unit from -3 to 2.
- Using the given scale of 2cm to 1 unit, we will mark each unit with a 4cm increment on the graph book.
On the y-axis:
- We will label each unit from -5 to 10.
- Using the given scale of 2cm to 1 unit, we will mark each unit with a 4cm increment on the graph book.
Now, we can plot the points (x, y) as follows:
Point A: (-3, -5)
- From the point (-3, -5) on the x-axis, we go down 5 units on the y-axis and mark the point.
Point B: (-2, -2)
- From the point (-2, -2) on the x-axis, we go up 2 units (two 4cm increments) on the y-axis and mark the point.
Point C: (-1, 1)
- From the point (-1, 1) on the x-axis, we go up 1 unit (one 4cm increment) on the y-axis and mark the point.
Point D: (0, 4)
- From the point (0, 4) on the x-axis, we go up 4 units (four 4cm increments) on the y-axis and mark the point.
Point E: (1, 7)
- From the point (1, 7) on the x-axis, we go up 7 units (seven 4cm increments) on the y-axis and mark the point.
Point F: (2, 10)
- From the point (2, 10) on the x-axis, we go up 10 units (ten 4cm increments) on the y-axis and mark the point.
Connect the plotted points with a line to complete the graph.
To plot this graph using the given scale of 2cm to 1 unit on the c-axis and 2cm to 1 unit on the y-axis, follow these steps:
1. Draw the x-axis (also known as the c-axis) horizontally across your graph paper.
2. Label the horizontal axis with the numbers given for x: -3, -2, -1, 0, 1, 2. Space them out evenly along the x-axis.
3. Draw the y-axis vertically on your graph paper.
4. Label the vertical axis with the numbers given for y: -5, -2, 1, 4, 7, 10. Space them out evenly along the y-axis.
5. Now, locate the point (-3, -5) on this coordinate system. This means you need to go 3 units to the left along the x-axis and 5 units down along the y-axis. Mark this point.
6. Repeat step 5 for the remaining points: (-2, -2), (-1, 1), (0, 4), (1, 7), and (2, 10).
7. Connect the dots with a smooth line to create the graph.
Remember to use the given scale of 2cm to 1 unit on both axes, meaning that each unit on the graph represents 2 centimeters.