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A parabola with equation y=ax^2+bx+c contains the points (-3,3), (1,3), and (0,0). Find the value of 100a+10b+c.

 Feb 8, 2022
 #1
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Plug in all of the points and create 3 seperate equations:

 

#1: 3 = a(-3)^2 + b(-3) + c

#2: 3 = a(1)^2 + b(1) + c

#3: 0 = a(0)^2 + b(0) + c

 

You can use the last equation to get the value of c, which is 0. You can then use substitution or elimination, whichever you choose, to simplify and solve for a and b. Hope this helps!

 

Let me know if I did anything wrong! 

 Feb 8, 2022

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