SOLUTION: Graph y=x2-2x-2 NOTE-the two after the first x is an exponent

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Question 147611: Graph y=x2-2x-2
NOTE-the two after the first x is an exponent
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Table of Contents:


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In order to graph y=x%5E2-2x-2, we need to plot some points.


Let's find y when x=-2:


y=x%5E2-2x-2 Start with the given equation.


y=%28-2%29%5E2-2%28-2%29-2 Plug in x=-2.


y=1%284%29-2%28-2%29-2 Square -2 to get 4.


y=4-2%28-2%29-2 Multiply 1 and 4 to get 4.


y=4%2B4-2 Multiply -2 and -2 to get 4.


y=6 Combine like terms.


So if x=-2, then y=6.


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Let's find y when x=-1:


y=x%5E2-2x-2 Start with the given equation.


y=%28-1%29%5E2-2%28-1%29-2 Plug in x=-1.


y=1%281%29-2%28-1%29-2 Square -1 to get 1.


y=1-2%28-1%29-2 Multiply 1 and 1 to get 1.


y=1%2B2-2 Multiply -2 and -1 to get 2.


y=1 Combine like terms.


So if x=-1, then y=1.


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Let's find y when x=0
(Note: you can start with any x-value):


y=x%5E2-2x-2 Start with the given equation.


y=%280%29%5E2-2%280%29-2 Plug in x=0.


y=1%280%29-2%280%29-2 Square 0 to get 0.


y=0-2%280%29-2 Multiply 1 and 0 to get 0.


y=0%2B0-2 Multiply -2 and 0 to get 0.


y=-2 Combine like terms.


So if x=0, then y=-2.


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Let's find y when x=1:


y=x%5E2-2x-2 Start with the given equation.


y=%281%29%5E2-2%281%29-2 Plug in x=1.


y=1%281%29-2%281%29-2 Square 1 to get 1.


y=1-2%281%29-2 Multiply 1 and 1 to get 1.


y=1-2-2 Multiply -2 and 1 to get -2.


y=-3 Combine like terms.


So if x=1, then y=-3.


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Let's find y when x=2:


y=x%5E2-2x-2 Start with the given equation.


y=%282%29%5E2-2%282%29-2 Plug in x=2.


y=1%284%29-2%282%29-2 Square 2 to get 4.


y=4-2%282%29-2 Multiply 1 and 4 to get 4.


y=4-4-2 Multiply -2 and 2 to get -4.


y=-2 Combine like terms.


So if x=2, then y=-2.


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Let's find y when x=3:


y=x%5E2-2x-2 Start with the given equation.


y=%283%29%5E2-2%283%29-2 Plug in x=3.


y=1%289%29-2%283%29-2 Square 3 to get 9.


y=9-2%283%29-2 Multiply 1 and 9 to get 9.


y=9-6-2 Multiply -2 and 3 to get -6.


y=1 Combine like terms.


So if x=3, then y=1.


Let's find y when x=4:


y=x%5E2-2x-2 Start with the given equation.


y=%284%29%5E2-2%284%29-2 Plug in x=4.


y=1%2816%29-2%284%29-2 Square 4 to get 16.


y=16-2%284%29-2 Multiply 1 and 16 to get 16.


y=16-8-2 Multiply -2 and 4 to get -8.


y=6 Combine like terms.


So if x=4, then y=6.


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Now let's make a table of the values we just found.


Table of Values:





xy
-26


-11


0-2


1-3


2-2


31


46

Now let's plot the points:







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Now draw a curve through all of the points to graph y=x%5E2-2x-2:


Graph of y=x%5E2-2x-2