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ohaa [14]
3 years ago
11

The diagram below shows the graph of the quadratic function f (x) = ax² + 8x + c. calculate the value for each of the following.

Mathematics
2 answers:
77julia77 [94]3 years ago
8 0

Answer:

c = 6, m = - 2, a = 2, n = - 2

Step-by-step explanation:

i m not sure but hope it is right

Alexxandr [17]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The y- intercept is at (0, 6) ⇒ c = 6

The x- coordinate of the vertex is at the midpoint of the zeros, that is

m = \frac{-3-1}{2} = \frac{-4}{2} = - 2

Since the zeros are x = - 3 and x = - 1 then the factors are (x + 3), (x + 1) and

f(x) = a(x + 3)(x + 1) = a(x² + 4x + 3)

Comparing with f(x) = ax² + 8x + 6 ⇒ a = 2

Thus

f(x) = 2x² + 8x + 6

Substitute m = - 2 into the equation for value of n

n = 2(- 2)² + 8(- 2) + 6 = 8 - 16 + 6 = - 2

Hence

c = 6, m = - 2, a = 2, n = - 2

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