Question

The graph of y = ax 2 + bx + c is shown below. Determine the solution set of 0 = ax 2 + bx + c.

Answer 1

Answer: The correct answer is actually 2

Step-by-step explanation: i tried the other persons answer and got it wrong and this is the correct answer!!! GLAD TO HELP

Answer 2

Answer:

look below

Step-by-step explanation:

The vertex  will be found at (4,2)   and we can write that :

(y - 2) = (a)(x - 4)^2       and since (8,6)   is on the curve, we can solve for a

(6 -2)  = (a) (8 - 4)^2    simplify

4 = (a)(4)^2

4 = (a)16   →    a = 4/16  = 1/4

Since the x coordinate of the vertex is given by -b/ (2a)  we have that   -b/[2 (1/4)]  = 4   → -b / (1/2) = 4 → -b = 2 → b = -2

And using the fact that  (4,2)  is on the graph, we can find c, thusly :

y = ax^2 + bx + c  ......so......

2 = (1/4)(4)^2 -2(4) + c

2 = 4 - 8 + c

2  = -4 + c

c = 6

Then a*b*c =  (1/4) (-2) (6)    =  (1/4)(-12)    = -3