What is the role of the quadratic coefficient, b, and the linear coefficient, c? Graph y1, = x3, y2 = x3 − 4x2, y3 = x3 − 4x,y4 = x3 + 2x, y5 = x3 + 0.1x, andy6 = −x3 − 4x2 + 2x − 3. Based on your graphs, how do the various values of b and c affect the graph?
The general form of a cubic function is f(x) = ax + bx2 + cx + d. The graph of a cubic function is an S-shaped figure. Let’s explore the roles of the coefficients a, b, c, and d on the graph.
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