SOLUTION: Graph the following equation: y = –x^2 + x
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Question 88244: Graph the following equation: y = –x^2 + x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to graph , we need to plot some points.
We can start at any x value, so lets start at x=-3
Start with the given polynomial
Plug in
Raise -3 to the second power to get 9
Now combine like terms
So our 1st point is (-3,-12)
----Now lets find another point----
Start with the given polynomial
Plug in
Raise -2 to the second power to get 4
Now combine like terms
So our 2nd point is (-2,-6)
----Now lets find another point----
Start with the given polynomial
Plug in
Raise -1 to the second power to get 1
Now combine like terms
So our 3rd point is (-1,-2)
----Now lets find another point----
Start with the given polynomial
Plug in
Raise 0 to the second power to get 0
Now combine like terms
So our 4th point is (0,0)
----Now lets find another point----
Start with the given polynomial
Plug in
Raise 1 to the second power to get 1
Now combine like terms
So our 5th point is (1,0)
----Now lets find another point----
Start with the given polynomial
Plug in
Raise 2 to the second power to get 4
Now combine like terms
So our 6th point is (2,-2)
----Now lets find another point----
Start with the given polynomial
Plug in
Raise 3 to the second power to get 9
Now combine like terms
So our 7th point is (3,-6)
Now lets make a table of the values we have calculated
x | y |
-3 | -12 |
-2 | -6 |
-1 | -2 |
0 | 0 |
1 | 0 |
2 | -2 |
3 | -6 |
Now plot the points
Now connect the points to graph
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