SOLUTION: Find the corresponding y values for x = -4, -3, -2, -1, 0, 1, 2 if y = x^2 + 2x- 3. help this is not sinking in at all.

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Question 90405: Find the corresponding y values for x = -4, -3, -2, -1, 0, 1, 2 if y = x^2 + 2x- 3. help this is not sinking in at all.

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Lets find the value of y when

Start with the given polynomial


Plug in


Raise -4 to the second power to get 16


Multiply 2 by -4 to get -8


Now combine like terms
So when ,



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



Lets find the value of y when

Start with the given polynomial


Plug in


Raise -3 to the second power to get 9


Multiply 2 by -3 to get -6


Now combine like terms
So when ,



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



Lets find the value of y when

Start with the given polynomial


Plug in


Raise -2 to the second power to get 4


Multiply 2 by -2 to get -4


Now combine like terms
So when ,



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



Lets find the value of y when

Start with the given polynomial


Plug in


Raise -1 to the second power to get 1


Multiply 2 by -1 to get -2


Now combine like terms
So when ,



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



Lets find the value of y when

Start with the given polynomial


Plug in


Raise 0 to the second power to get 0


Multiply 2 by 0 to get 0


Remove any zero terms
So when ,



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



Lets find the value of y when

Start with the given polynomial


Plug in


Raise 1 to the second power to get 1


Multiply 2 by 1 to get 2


Now combine like terms
So when ,



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



Lets find the value of y when

Start with the given polynomial


Plug in


Raise 2 to the second power to get 4


Multiply 2 by 2 to get 4


Now combine like terms
So when ,


Now lets make a table 





 xy



 -45
 

 -30
 

 -2-3
 

 -1-4
 

 0-3
 

 10
 

 25



Notice if we graph and plot the points we found earlier, we see that the points lie on the curve. So this verifies our answer.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the corresponding y values for x = -4, -3, -2, -1, 0, 1, 2 if y = x^2 + 2x- 3. help this is not sinking in at all.
-----------------
Just put each value of x in place of x in the formula.
For example
If x = -3, y = (-3)^2 + 2(-3) -1 = 9 - 6 -1 = 2
If x = 2, y = (2)^2 + 2*(2) - 3 = 4+4-3=5
etc.
Cheers,
Stan H.
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