Find all points(x, y)on the graph of ƒ(x) = 3x^2-4x with tangent lines parallel to the line y=8x + 5

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CH3.3 The Derivative as a Function Ex61
數學系卡安很閒 所以決定拯救沒辦法用slader和chegg的莘莘學子
Find all points (x, y) on the graph of ƒ(x) = 3x2 - 4x with tangent lines parallel to the line y = 8x + 5.
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I always love checking my work to make sure I got it right, and for some reason, my solutions manual (of the same 13th edition no less) has entirely different problems and solutions for the last half of chapter 3.3. Glad I found this so I could make sure I did it right. Thank you, it's greatly appreciated!!! :)

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