SOLUTION: I do not know how to graph the parabola y= x^2

Algebra ->  Graphs -> SOLUTION: I do not know how to graph the parabola y= x^2      Log On


   

Question 219630: I do not know how to graph the parabola y= x^2
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I do not know how to graph the parabola y= x^2
----------------------
Plot a few points and draw a smooth curve thru them.
If x = -2, y = 4 giving you (-2,4)
If x = -1, y = 1 giving you (-1,1)
If x = 0, y = 0 giving you (0,0)
If x = 1, y = 1 giving you (1,1)
If x = 2, y = 4 giving you (2,4)
--------------------------------------
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%29
===============================================
Cheers,
Stan H.

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 a few points. To find these points, simply plug in values of 'x' to find corresponding values of 'y'. They will form the points in the form (x,y).


Let's find the y value when x=-3


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


y=%28-3%29%5E2 Plug in x=-3.


y=9 Square -3 to get 9.


So when x=-3, y=9. So we have the point (-3,9).


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


Let's find the y value when x=-2


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, y=4. So we have the point (-2,4).


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


Let's find the y value 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, y=1. So we have the point (-1,1).


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


Let's find the y value 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, y=0. So we have the point (0,0).


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


Let's find the y value 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, y=1. So we have the point (1,1).


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


Let's find the y value 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, y=4. So we have the point (2,4).


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


Let's find the y value when x=3


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


y=%283%29%5E2 Plug in x=3.


y=9 Square 3 to get 9.


So when x=3, y=9. So we have the point (3,9).


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


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



Jump to Top

Table of Values:





xy
-39


-24


-11


00


11


24


39

Now let's plot the points:




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



Jump to Top

Graph of y=x%5E2

Jump to Top