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Help (Find a, b, and c)

 Feb 5, 2017
 #1
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0 and 10 are the roots....and the verex is at  x = 5

 

So...the point   (5, -100) is on the graph

 

The x coordinate of the vertex  = -b/[ 2a]  = 5  →  b = -10a

 

And the product of the roots  = c/a.....so    0 * 10  = 0 =   c/a →  c = 0

 

And we know that

 

a(5)^2 - 10a(5)  = -100

 

25a - 50a  = - 100

 

-25a  = - 100      divide by -25 

 

a = 4

 

And b  = -10(4)  = - 40

 

So....the function is :

 

y = 4x^2 - 40x

 

Here's a graph :

 

https://www.desmos.com/calculator/lt3x4r8nt7

 

 

cool cool cool

 Feb 5, 2017

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