SOLUTION: I need to graph the function y =f(x) = x^2. How to do? Thank you.

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Question 170006: I need to graph the function y =f(x) = x^2. How to do?

Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Table of Contents:


Jump to Table
Jump to Graph


In order to graph y=x%5E2, we need to plot some points.


Let's find y when x=-2
(Note: you can start with any x-value):


y=x%5E2 Start with the given equation.


y=%28-2%29%5E2 Plug in x=-2.


y=4 Square -2 to get 4.


So when x=-2, then y=4.


So we have the point .


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


Let's find y when x=-1:


y=x%5E2 Start with the given equation.


y=%28-1%29%5E2 Plug in x=-1.


y=1 Square -1 to get 1.


So when x=-1, then y=1.


So we have the point .


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


Let's find y when x=0:


y=x%5E2 Start with the given equation.


y=%280%29%5E2 Plug in x=0.


y=0 Square 0 to get 0.


So when x=0, then y=0.


So we have the point .


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


Let's find y when x=1:


y=x%5E2 Start with the given equation.


y=%281%29%5E2 Plug in x=1.


y=1 Square 1 to get 1.


So when x=1, then y=1.


So we have the point .


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


Let's find y when x=2:


y=x%5E2 Start with the given equation.


y=%282%29%5E2 Plug in x=2.


y=4 Square 2 to get 4.


So when x=2, then y=4.


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
-24


-11


00


11


24

Now let's plot the points:







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Graph:


Now draw a curve through all of the points to graph y=x%5E2:


Graph of y=x%5E2