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The red parabola shown is the graph of the equation x = ay^2 + by + c. Find a + b + c.

 

 Jul 4, 2022
 #1
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We have the form

 

x =  a ( y - k)^2 + h          where the vertex is  (h , k)

 

Since the point   (2,0)  is on the  graph

 

2  =  a ( 0 -  -1)^2  + 4

 

2 - 4  = a *1

 

-2 = a

 

 

So

 

x =  -2 ( y + 1)^2  + 4

 

x =  -2 ( y^2 + 2y + 1) + 4

 

x = -2y^2 - 4y - 2 + 4

 

x = -2y^2 - 4y + 2

 

x = ay^2 + by + c

 

 

 

a = -2   b = -4     c = 2

 

a + b + c  =   

 

-4

 

cool cool cool

 Jul 4, 2022

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