SOLUTION: Sketch the graph of f(x)= x2-3 for f(2)

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Question 150921: Sketch the graph of f(x)= x2-3 for f(2)
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Table of Contents:


Jump to Table
Jump to Graph


In order to graph , we need to plot some points.


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


Start with the given equation.


Plug in .


Square to get .


Multiply and to get .


Combine like terms.


So when , then .


So we have the point .


----------------------------------------------------


Let's find y when :


Start with the given equation.


Plug in .


Square to get .


Multiply and to get .


Combine like terms.


So when , then .


So we have the point .


----------------------------------------------------


Let's find y when :


Start with the given equation.


Plug in .


Square to get .


Multiply and to get .


Combine like terms.


So when , then .


So we have the point .


----------------------------------------------------


Let's find y when :


Start with the given equation.


Plug in .


Square to get .


Multiply and to get .


Combine like terms.


So when , then .


So we have the point .


----------------------------------------------------


Let's find y when :


Start with the given equation.


Plug in .


Square to get .


Multiply and to get .


Combine like terms.


So when , then .


So we have the point .


----------------------------------------------------


Let's find y when :


Start with the given equation.


Plug in .


Square to get .


Multiply and to get .


Combine like terms.


So when , then .


So we have the point .


----------------------------------------------------


Let's find y when :


Start with the given equation.


Plug in .


Square to get .


Multiply and to get .


Combine like terms.


So when , then .


So we have the point .


----------------------------------------------------





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


Table of Values:





xy
-36


-21


-1-2


0-3


1-2


21


36

Now let's plot the points:







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Graph:


Now draw a curve through all of the points to graph :


Graph of
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