What is the role of the quartic coefficient, a, on the graph? Graph y1, = x4, y2 = 2x4, y3...

What is the role of the quartic coefficient, a, on the graph? Graph y1, = x4, y2 = 2x4, y3 =  x4, y4= −x4, and y5= −3x4. Based on your graphs how does the value of  a affect the graph?

The general form of a quartic equation is f(x) = ax4 + bx3 + cx2 + dx + e. The graph may be a U-shape similar to a parabola or a W-shape. Let explore the roles of the coefficients a, b, c, d, and e on the graph.