SOLUTION: sketch the graph of f(x) + (x-3)2 + 1

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Question 150929: sketch the graph of f(x) + (x-3)2 + 1
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Table of Contents:

Table
Graph

In order to graph , we need to plot a few points.


Let's find the y value when note: you can start at any x value.


Start with the given equation.


Plug in .


Simplify.


So when , . So we have the point (0,10).


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


Let's find the y value when


Start with the given equation.


Plug in .


Simplify.


So when , . So we have the point (1,5).


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


Let's find the y value when


Start with the given equation.


Plug in .


Simplify.


So when , . So we have the point (2,2).


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


Let's find the y value when


Start with the given equation.


Plug in .


Simplify.


So when , . So we have the point (3,1).


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


Let's find the y value when


Start with the given equation.


Plug in .


Simplify.


So when , . So we have the point (4,2).


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


Let's find the y value when


Start with the given equation.


Plug in .


Simplify.


So when , . So we have the point (5,5).


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


Let's find the y value when


Start with the given equation.


Plug in .


Simplify.


So when , . So we have the point (6,10).


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


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





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Table of Values:





xy
010


15


22


31


42


55


610

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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