SOLUTION: Hi! How is everyone? Allright, I am having some difficult with this certain problem. It says to graph the function y=f(x)=x^2 Please help me THANK YOU=)

Algebra ->  Graphs -> SOLUTION: Hi! How is everyone? Allright, I am having some difficult with this certain problem. It says to graph the function y=f(x)=x^2 Please help me THANK YOU=)      Log On


   

Question 130545This question is from textbook algebra
: Hi! How is everyone?
Allright, I am having some difficult with this certain problem.
It says to graph the function y=f(x)=x^2
Please help me THANK YOU=) This question is from textbook algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In order to graph f%28x%29=1x%5E2, we need to plot some points. To do that, we need to plug in some x values to get some y values


So let's find the first point:



f%28x%29=1x%5E2 Start with the given function


f%28-3%29=1%28-3%29%5E2 Plug in x=-3


f%28-3%29=1%2A9 Raise -3 to the 2nd power to get 9


f%28-3%29=9 Multiply 1 and 9 to get 9


So when x=-3, we have y=9


So our 1st point is (-3,9)


-------------- Let's find another point --------------


f%28x%29=1x%5E2 Start with the given function


f%28-2%29=1%28-2%29%5E2 Plug in x=-2


f%28-2%29=1%2A4 Raise -2 to the 2nd power to get 4


f%28-2%29=4 Multiply 1 and 4 to get 4


So when x=-2, we have y=4


So our 2nd point is (-2,4)


-------------- Let's find another point --------------


f%28x%29=1x%5E2 Start with the given function


f%28-1%29=1%28-1%29%5E2 Plug in x=-1


f%28-1%29=1%2A1 Raise -1 to the 2nd power to get 1


f%28-1%29=1 Multiply 1 and 1 to get 1


So when x=-1, we have y=1


So our 3rd point is (-1,1)


-------------- Let's find another point --------------


f%28x%29=1x%5E2 Start with the given function


f%280%29=1%280%29%5E2 Plug in x=0


f%280%29=1%2A0 Raise 0 to the 2nd power to get 0


f%280%29=0 Multiply 1 and 0 to get 0


So when x=0, we have y=0


So our 4th point is (0,0)


-------------- Let's find another point --------------


f%28x%29=1x%5E2 Start with the given function


f%281%29=1%281%29%5E2 Plug in x=1


f%281%29=1%2A1 Raise 1 to the 2nd power to get 1


f%281%29=1 Multiply 1 and 1 to get 1


So when x=1, we have y=1


So our 5th point is (1,1)


-------------- Let's find another point --------------


f%28x%29=1x%5E2 Start with the given function


f%282%29=1%282%29%5E2 Plug in x=2


f%282%29=1%2A4 Raise 2 to the 2nd power to get 4


f%282%29=4 Multiply 1 and 4 to get 4


So when x=2, we have y=4


So our 6th point is (2,4)


-------------- Let's find another point --------------


f%28x%29=1x%5E2 Start with the given function


f%283%29=1%283%29%5E2 Plug in x=3


f%283%29=1%2A9 Raise 3 to the 2nd power to get 9


f%283%29=9 Multiply 1 and 9 to get 9


So when x=3, we have y=9


So our 7th point is (3,9)


Now lets make a table of the values we have calculated 



 xy



 -39
 

 -24
 

 -11
 

 00
 

 11
 

 24
 

 39
Now plot the points



Now connect the points to graph y=1x%5E2 (note: the more points you plot, the easier it is to draw the graph)