SOLUTION: Determine the difference quotient f(x+h)-f(x)/h (where h cannot =0) for the function defined by f(x)= -2x^2+4x. Simplify the result.

Question 1031008: Determine the difference quotient f(x+h)-f(x)/h (where h cannot =0) for the function defined by f(x)= -2x^2+4x. Simplify the result.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Determine the difference quotient f(x+h)-f(x)/h (where h cannot =0) for the function defined by f(x)= -2x^2+4x
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f(x)= -2x^2+4x
f(x+h)= -2(x+h)^2+4(x+h) = -2x^2-4hx-2h^2+4x+4h
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f(x+h) - f(x)= -2x^2-4hx-2h^2+4x+4h - (-2x^2+4x) = -4hx - 2h^2 + 4h
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Diff/h = -4x + 4 - 2h
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