SOLUTION: y=x^2+2

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Question 131616: y=x^2+2
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Do you want to graph?

In order to graph , we need to plot some points. To do that, we need to plug in some x values to get some y values


So let's find the first point:



Start with the given function


Plug in


Raise -3 to the 2nd power to get 9


Multiply 1 and 9 to get 9


Add 9 and 2 to get 11


So when , we have


So our 1st point is (-3,11)


-------------- Let's find another point --------------


Start with the given function


Plug in


Raise -2 to the 2nd power to get 4


Multiply 1 and 4 to get 4


Add 4 and 2 to get 6


So when , we have


So our 2nd point is (-2,6)


-------------- Let's find another point --------------


Start with the given function


Plug in


Raise -1 to the 2nd power to get 1


Multiply 1 and 1 to get 1


Add 1 and 2 to get 3


So when , we have


So our 3rd point is (-1,3)


-------------- Let's find another point --------------


Start with the given function


Plug in


Raise 0 to the 2nd power to get 0


Multiply 1 and 0 to get 0


Add 0 and 2 to get 2


So when , we have


So our 4th point is (0,2)


-------------- Let's find another point --------------


Start with the given function


Plug in


Raise 1 to the 2nd power to get 1


Multiply 1 and 1 to get 1


Add 1 and 2 to get 3


So when , we have


So our 5th point is (1,3)


-------------- Let's find another point --------------


Start with the given function


Plug in


Raise 2 to the 2nd power to get 4


Multiply 1 and 4 to get 4


Add 4 and 2 to get 6


So when , we have


So our 6th point is (2,6)


-------------- Let's find another point --------------


Start with the given function


Plug in


Raise 3 to the 2nd power to get 9


Multiply 1 and 9 to get 9


Add 9 and 2 to get 11


So when , we have


So our 7th point is (3,11)


Now lets make a table of the values we have calculated
xy
-311
-26
-13
02
13
26
311
Now plot the points



Now connect the points to graph (note: the more points you plot, the easier it is to draw the graph)

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