What are the factors of the function represented by this graph? the graph of a quadratic function y = (1/4)(x + 4)(x - 8) with a maximum value at the point (2,9) a. (x − 4) and (x − 8) b. (x − 4) and (x + 8) c. (x + 4) and (x − 8) d. (x + 4) and (x + 8)

option C. (x + 4) and (x − 8)

Step-by-step explanation:

A factor is one of the linear expressions of a single-variable of the polynomial.

Given: y = (1/4)(x + 4)(x - 8)

When y = 0

∴ (1/4)(x + 4)(x - 8) = 0 ⇒ multiply both sides by 4

∴ (x + 4)(x - 8) = 0

So, the factors of the function are (x+4) and (x-8)

The answer is option C. (x + 4) and (x − 8)

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step-by-step explanation: