Graph the equation by completing the table and plotting the points. You may use Excel or another web-based graphing utility. a) y = 3x - x2 Use the values of x provided in the table to find the y values. Show your work.

I think you mean

y = 3*x-x^2

then try

http://www.algebrahelp.com/calculators/function/graphing/

putting

3*x-x^2
in the box

To graph the equation y = 3x - x^2, we need to complete the table by finding the corresponding y-values for different x-values. Let's start by creating a table using the given x-values:

x | y
--|--
-2|
-1|
0 |
1 |
2 |

To find the y-values, we substitute each x-value into the equation and calculate the corresponding y-value:

1. For x = -2:
y = 3(-2) - (-2)^2
= -6 - 4
= -10

2. For x = -1:
y = 3(-1) - (-1)^2
= -3 - 1
= -4

3. For x = 0:
y = 3(0) - (0)^2
= 0 - 0
= 0

4. For x = 1:
y = 3(1) - (1)^2
= 3 - 1
= 2

5. For x = 2:
y = 3(2) - (2)^2
= 6 - 4
= 2

Now we can complete the table:

x | y
--|---
-2| -10
-1| -4
0 | 0
1 | 2
2 | 2

To graph these points, you can use any graphing utility like Excel or a web-based graphing tool. For example, you can create a scatter plot in Excel and input the x and y values to get the graph of the equation. Alternatively, you can use online graphing utilities like Desmos or GeoGebra, where you can directly input the equation and it will plot the graph for you.

Once you have plotted the points on the coordinate plane, connect them using a smooth curve to obtain the graph of the equation y = 3x - x^2.