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
xy
-3-12
-2-6
-1-2
00
10
2-2
3-6
Now plot the points



Now connect the points to graph

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