Processing math: 100%
 
+0  
 
0
20
1
avatar+864 

The parabola y=ax2+bx+c is graphed below. Find abc. (The grid lines are one unit apart.)

 

 Aug 4, 2024
 #1
avatar+37165 
+1

Vertex at 3,1    and a point on the parabola is  0, 7 

Vertex form :

   f(x) =  d ( x-3)^2 + 1       sub on the point 0,7   to find  d = 2/3

so the equation is now 

    f(x) = 2/3(x-3)^2 + 1      which expands to    2/3 x^2 -4 + 7      so    a = 2/3       b = - 4    c = 7    which when multiplied together = -18 2/3

 Aug 4, 2024

0 Online Users