Find the coordinates of the stationary points on each of the following curves and determine the nature

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Find the coordinates of the stationary points on each of the following curves and determine the nature of each stationary point. Sketch the graph of each function and use graphing software to check your graphs.
a. y = x2 − 4x + 8 

b. y = (3 + x)(2 − x)
c. y = x3 − 12x + 6 

d. y = 10 + 9x − 3x2 − x3

e. y = x4 + 4x − 1 

f. y = (2x − 3)3 − 6x

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