SOLUTION: Graph the following equation: y = –x^2 + 1
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Question 88246: Graph the following equation: y = –x^2 + 1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to graph , we need to plot some points.
We can start at any x value, so lets start at x=-3
Start with the given polynomial
Plug in
Raise -3 to the second power to get 9
Now combine like terms
So our 1st point is (-3,-8)
----Now lets find another point----
Start with the given polynomial
Plug in
Raise -2 to the second power to get 4
Now combine like terms
So our 2nd point is (-2,-3)
----Now lets find another point----
Start with the given polynomial
Plug in
Raise -1 to the second power to get 1
Now combine like terms
So our 3rd point is (-1,0)
----Now lets find another point----
Start with the given polynomial
Plug in
Raise 0 to the second power to get 0
Now combine like terms
So our 4th point is (0,1)
----Now lets find another point----
Start with the given polynomial
Plug in
Raise 1 to the second power to get 1
Now combine like terms
So our 5th point is (1,0)
----Now lets find another point----
Start with the given polynomial
Plug in
Raise 2 to the second power to get 4
Now combine like terms
So our 6th point is (2,-3)
----Now lets find another point----
Start with the given polynomial
Plug in
Raise 3 to the second power to get 9
Now combine like terms
So our 7th point is (3,-8)
Now lets make a table of the values we have calculated
x | y |
-3 | -8 |
-2 | -3 |
-1 | 0 |
0 | 1 |
1 | 0 |
2 | -3 |
3 | -8 |
Now plot the points
Now connect the points to graph
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