+1839 The parabola $y = ax^2 + bx + c$ is graphed below. Find $a \cdot b \cdot c.$ (The grid lines are one unit apart.)
+129895 The vertex is ( 3,1) and the points (0,7) and (6,7) are on the graph
c = 7
1 = a (3)^2 + b(3) + 7
7 = a(6)^2 + b(6) + 7 simplify
9a + 3b = - 6 → 3a + b = -2 → b = -2 - 3a (1)
36a + 6b = 0 (2)
Sub (1) into (2)
36 a + 6(-2-3a) = 0
36a - 12 - 18a = 0
18a = 12
a = 2/3
b = -2 - 3(2/3) = -2 - 2 = -4
a * b * c = (2/3) * (-4) * 7 = -56 / 3
