SOLUTION:

Algebra.Com
Question 188748:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
# 2

c)

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


Let's find the y value when


Start with the given equation.


Plug in .


Square -1 to get 1.


Multiply -6 and -1 to get 6.


Combine like terms.


So when , . So we have the point (-1,0).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 0 to get 0.


Multiply -6 and 0 to get 0.


Combine like terms.


So when , . So we have the point (0,-7).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 1 to get 1.


Multiply -6 and 1 to get -6.


Combine like terms.


So when , . So we have the point (1,-12).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 2 to get 4.


Multiply -6 and 2 to get -12.


Combine like terms.


So when , . So we have the point (2,-15).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 3 to get 9.


Multiply -6 and 3 to get -18.


Combine like terms.


So when , . So we have the point (3,-16).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 4 to get 16.


Multiply -6 and 4 to get -24.


Combine like terms.


So when , . So we have the point (4,-15).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 5 to get 25.


Multiply -6 and 5 to get -30.


Combine like terms.


So when , . So we have the point (5,-12).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 6 to get 36.


Multiply -6 and 6 to get -36.


Combine like terms.


So when , . So we have the point (6,-7).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 7 to get 49.


Multiply -6 and 7 to get -42.


Combine like terms.


So when , . So we have the point (7,0).


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


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


Table of Values:





xy
-10


0-7


1-12


2-15


3-16


4-15


5-12


6-7


70

Now let's plot the points:




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


Graph of


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# 2

d)

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


Let's find the y value when


Start with the given equation.


Plug in .


Square -2 to get 4.


Multiply -4 and -2 to get 8.


Combine like terms.


So when , . So we have the point (-2,7).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square -1 to get 1.


Multiply -4 and -1 to get 4.


Combine like terms.


So when , . So we have the point (-1,0).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 0 to get 0.


Multiply -4 and 0 to get 0.


Combine like terms.


So when , . So we have the point (0,-5).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 1 to get 1.


Multiply -4 and 1 to get -4.


Combine like terms.


So when , . So we have the point (1,-8).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 2 to get 4.


Multiply -4 and 2 to get -8.


Combine like terms.


So when , . So we have the point (2,-9).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 3 to get 9.


Multiply -4 and 3 to get -12.


Combine like terms.


So when , . So we have the point (3,-8).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 4 to get 16.


Multiply -4 and 4 to get -16.


Combine like terms.


So when , . So we have the point (4,-5).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 5 to get 25.


Multiply -4 and 5 to get -20.


Combine like terms.


So when , . So we have the point (5,0).


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


Let's find the y value when


Start with the given equation.


Plug in .


Square 6 to get 36.


Multiply -4 and 6 to get -24.


Combine like terms.


So when , . So we have the point (6,7).


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


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


Table of Values:





xy
-27


-10


0-5


1-8


2-9


3-8


4-5


50


67

Now let's plot the points:




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


Graph of