SOLUTION: Another graphing a function question! I can't figure the graphing part out. Graph the function f(x)= -3x squared + x-5

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Question 152928: Another graphing a function question! I can't figure the graphing part out.
Graph the function f(x)= -3x squared + x-5

Found 2 solutions by jim_thompson5910, Fombitz:
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 .


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





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


Table of Values:


xy
-2-19
-1-9
0-5
1-7
2-15

Now let's plot the points:







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Graph:


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


Graph of

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Make a table labels x and f(x) or y.
Choose an x. Plug it into the equation, that's your f(x) or y value.
Each x will have a y value.
Graph the points.
Connect the points.
I'll start at x=-5 and go in steps of 1 to x=5.
x,f(x)
-5,-85
-4,-57
-3,-35
-2,-19
-1,-9
0,-5
1,-7
2,-15
3,-29
4,-49
5,-75
.
.
.
Graph the points.

.
.
.
Connect the points.

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