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The parabola y = ax^2 + bx + c is graphed below. Find a + b + c. (The grid lines are one unit apart.)
The parabola passes through (-2,8), (0,0), and (2,8).

 Jun 27, 2024
 #1
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The parabola y = ax^2 + bx + c is graphed below. Find a + b + c. (The grid lines are one unit apart.)    
The parabola passes through (-2,8), (0,0), and (2,8).
   

 

There is no graph shown.  Relying only on the three points provided,    

one parabola that passes through (–2,8), (0,0), and (2,8) is y = 2x2    

 

If that is correct, then a + b + c  =  2 + 0 + 0  =  2.   

 

Those three points, and the vertex at (0,0), indicate that the parabola    

is symmetrical to the y-axis and that the equation has a double root.  

.

 Jun 28, 2024

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