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For the parabola through the points (-8,0), (7,0), (2,100)

 Mar 4, 2019
 #1
avatar+100546 
+1

The two roots are  (-8,0)  and (7,0)

 

So....we have this form

 

y = a ( x + 8) ( x - 7)

 

And since (2, 100) is on the graph, we can find "a" thusly :

 

100 = a(2 + 8) ( 2 - 7)

 

100 = a (10)(-5)

 

100 =   -50a

 

100/-50 = a = - 2

 

So...the parabola is

 

y = -2 [ (x + 8) (x - 7) ]

 

y = -2 [ x^2 + x - 56 ]

 

y = -2x^2 - 2x + 112

 

 

cool cool  cool

 Mar 4, 2019
 #2
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thank you so much 

Guest Mar 4, 2019
 #3
avatar+100546 
0

No prob !!!

 

cool cool cool

CPhill  Mar 4, 2019

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