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The graph of y=ax^2+bx+c is given below, where a, b, and c are integers. Find a-b+c.

 

 Apr 7, 2022
 #1
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I'll start with the vertex (3,1)  fromula for a parabola

     y = a (x-h)^2 + k

     y = a ( x-3)^2 + 1               now pick a convenient point on the graph   .... how about  0,7     sub in to calcualate a

     7 = a ( -3)^2 + 1          shows a = 2/3

 

y = 2/3 (x-3)^2 + 1      expand

y = 2/3 x^2 -4x + 7       <===== finish from here

 Apr 7, 2022

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