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Solution



Given
In this question, we are given that
    • A function f(x), defined as \(f(x) = ax^2 – x\)
    • Also, f(4) = 28

To find
We need to determine
    • The value of f(-2)

Approach and Working out
As f(4) = 28, we can write
    • \(f(4) = a * 4^2 – 4 = 16a – 4 = 28\)
    Or, 16a = 32
    Or, a = 2

Hence, \(f(x) = 2x^2 – x\)
Therefore, \(f(-2) = 2 * (-2)^2 – (-2) = 8 + 2 = 10\)

Thus, option E is the correct answer.

Correct Answer: Option E
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If f(x)=ax^2-x, and f(4)=28, what is f(-2)?

(A): 1
(B): 2
(C): 4
(D): 8
(E): 10 --> correct: f(4)= a*4^2-4 = 16a-4 =28 => a = 2, so f(-2)= a*(-2)^2-(-2)=4a+2=4*2+2=10
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