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The graph of a certain quadratic y = ax^2 + bx + c is a parabola with vertex (-4,0) which passes through the point (1,75) What is the value of a?

 
 Aug 2, 2022
 #1
avatar+124525 
+1

We have the form

 

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

 

So

 

175 = a ( 1 - - 4)^2 +  0

 

175 =  a (5)^2 

 

175  = 25a

 

175 / 25  = a =   7

 

 

cool cool cool

 
 Aug 2, 2022

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