SOLUTION: I need some help I am having problems Graph the quadratic equation after completeing the given table of values. Y=-x^2+1 Table of value is X y -2 -1 0 1 2

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Question 93226: I need some help I am having problems

Graph the quadratic equation after completeing the given table of values. Y=-x^2+1

Table of value is
X y
-2
-1
0
1
2

Thank you
Found 2 solutions by Nate, jim_thompson5910:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
I'll let you complete the table by filling in the values for x.
Connect the coordinates:
graph%28300%2C300%2C-2%2C2%2C-3%2C1%2C-x%5E2+%2B+1%29

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

In order to graph y=-x%5E2%2B1, we need to plot some points.

We can start at any x value, so lets start at x=-2




Lets find the value of y when x=-2

y=-x%5E2%2B1 Start with the given polynomial


y=-%28-2%29%5E2%2B1 Plug in x=-2


y=-4%2B1 Evaluate %28-2%29%5E2 to get 4

y=-4%2B1 Multiply -1 and 4 to get -4

y=-3 Now combine like terms


So when x=-2, y=-3



-------Now lets find another point-------



Lets find the value of y when x=-1

y=-x%5E2%2B1 Start with the given polynomial


y=-%28-1%29%5E2%2B1 Plug in x=-1


y=-1%2B1 Evaluate %28-1%29%5E2 to get 1

y=-1%2B1 Multiply -1 and 1 to get -1

y=0 Now combine like terms


So when x=-1, y=0



-------Now lets find another point-------



Lets find the value of y when x=0

y=-x%5E2%2B1 Start with the given polynomial


y=-%280%29%5E2%2B1 Plug in x=0


y=-0%2B1 Evaluate %280%29%5E2 to get 0

y=0%2B1 Multiply -1 and 0 to get 0

y=1 Now combine like terms


So when x=0, y=1



-------Now lets find another point-------



Lets find the value of y when x=1

y=-x%5E2%2B1 Start with the given polynomial


y=-%281%29%5E2%2B1 Plug in x=1


y=-1%2B1 Evaluate %281%29%5E2 to get 1

y=-1%2B1 Multiply -1 and 1 to get -1

y=0 Now combine like terms


So when x=1, y=0



-------Now lets find another point-------



Lets find the value of y when x=2

y=-x%5E2%2B1 Start with the given polynomial


y=-%282%29%5E2%2B1 Plug in x=2


y=-4%2B1 Evaluate %282%29%5E2 to get 4

y=-4%2B1 Multiply -1 and 4 to get -4

y=-3 Now combine like terms


So when x=2, y=-3


Now lets make a table of the values we have calculated 



 xy



 -2-3
 

 -10
 

 01
 

 10
 

 2-3
Now plot the points



Now connect the points to graph y=-x%5E2%2B1 (note: the more points you plot, the easier it is to draw the graph)