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Question

# Use a graphing utility to graph each pair of equations on the same set of axes. Determine how the two equations are related.$y_1=x^3-3 x^2$ and $y_2=x^3+3 x^2-4$

Solution

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In Mathematics, there are three types of transformations used in graphing functions:

• Reflections display the mirror image of the original function.
• Translations moves each point of the function at a fixed distance in the same direction.
• Dilations change the shape and size of the graph of the function.

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