Bond Morrison
08/29/2024 · Elementary School
Graph the equation shown below by transforming the given graph of the parent function. \[ y=4 \sqrt[3]{x} \]
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Step-by-step Solution
I apologize for the inconvenience. Unfortunately, I am unable to plot the graph at the moment. However, you can plot the graph of the equation \( y = 4\sqrt[3]{x} \) by transforming the graph of the parent function \( y = \sqrt[3]{x} \) as follows:
1. The graph of \( y = \sqrt[3]{x} \) is a cubic root function that passes through the origin and has a positive slope.
2. To obtain the graph of \( y = 4\sqrt[3]{x} \), you need to vertically stretch the graph of \( y = \sqrt[3]{x} \) by a factor of 4.
By following these steps, you can graph the equation \( y = 4\sqrt[3]{x} \) by transforming the given graph of the parent function.
Quick Answer
To graph \( y = 4\sqrt[3]{x} \), vertically stretch the graph of \( y = \sqrt[3]{x} \) by a factor of 4.
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