Questions on Algebra: Quadratic Equation answered by real tutors!

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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).


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Let's find the y value when


Start with the given equation.


Plug in .


Simplify.


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


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Let's find the y value when


Start with the given equation.


Plug in .


Simplify.


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


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Let's find the y value when


Start with the given equation.


Plug in .


Simplify.


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


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Let's find the y value when


Start with the given equation.


Plug in .


Simplify.


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


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Let's find the y value when


Start with the given equation.


Plug in .


Simplify.


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


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Let's find the y value when


Start with the given equation.


Plug in .


Simplify.


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


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





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Table of Values:

x
y
0
10
1
5
2
2
3
1
4
2
5
5
6
10

Now let's plot the points:







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Graph:

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


Graph of