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Coefficients that affect the graph

Explain how the graph of the function h(x) = ax2 + bx + c changes when you modify a, b, and c.



Explore the possible shapes of functions in the form f(x) = ax4+ bx3 + cx2 + dx + e, where a, b, c, d, and e are real numbers. Describe your findings for the various cases.

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