What is the role of the cubic coefficient, a? Graph y1 = x3, y2 = 2x3, y3 = x3, y4 = −2x3, y5 =x3 − 4x, and y6= −x3 + 4x. Based on your graphs, how does the value of a 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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