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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 (5,7). What is the value of a?

 Jul 13, 2022
 #1
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Vertex form

 

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

 

7 =  a ( 5 -4)^2 + 0

 

7  = a * 1^2

 

7 = 1a

 

a  = 7

 

cool cool cool

 Jul 13, 2022

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