SOLUTION: Graph the following equation: y = –x^2 + 1

Algebra.Com
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
xy
-3-8
-2-3
-10
01
10
2-3
3-8
Now plot the points



Now connect the points to graph

RELATED QUESTIONS

graph the following equation y= x +... (answered by checkley75)
graph the following equation y =-x +... (answered by elima)
graph the equation... (answered by tutorcecilia)
graph the equation... (answered by checkley77)
Graph the equation y= 2 |x|... (answered by jim_thompson5910)
Graph the following equation: y = –x^2 +... (answered by jim_thompson5910)
Graph the following equation, label any intercepts. y = ln(x - 1) +... (answered by fractalier)
how do i graph the following 2 equations? equation 1. y = 4x + 3 equation 2.... (answered by Cromlix)
Graph the following equation: y = –x^2 + 2x (answered by jim_thompson5910)