SOLUTION: Graph the quadratic equation after completing the given table of values. y = x^2 – 1 x y –2 –1 0 1 2 Please assist me with this question, as I am lost.

Algebra ->  Graphs -> SOLUTION: Graph the quadratic equation after completing the given table of values. y = x^2 – 1 x y –2 –1 0 1 2 Please assist me with this question, as I am lost.       Log On


   

Question 127270: Graph the quadratic equation after completing the given table of values.
y = x^2 – 1
x y
–2
–1
0
1
2
Please assist me with this question, as I am lost.
Thanks

Found 2 solutions by checkley71, jim_thompson5910:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
y=x^2-1 This line is:+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%5E2+-1%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x^2 -1).

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%5E2-1, 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%5E2-1 Start with the given function


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


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


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


f%28-2%29=3 Subtract 1 from 4 to get 3


So when x=-2, we have y=3


So our 1st point is (-2,3)


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


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


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


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


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


f%28-1%29=0 Subtract 1 from 1 to get 0


So when x=-1, we have y=0


So our 2nd point is (-1,0)


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


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


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


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


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


f%280%29=-1 Subtract 1 from 0 to get -1


So when x=0, we have y=-1


So our 3rd point is (0,-1)


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


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


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


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


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


f%281%29=0 Subtract 1 from 1 to get 0


So when x=1, we have y=0


So our 4th point is (1,0)


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


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


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


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


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


f%282%29=3 Subtract 1 from 4 to get 3


So when x=2, we have y=3


So our 5th point is (2,3)


Now lets make a table of the values we have calculated 



 xy



 -23
 

 -10
 

 0-1
 

 10
 

 23
Now plot the points



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