Question

4. The cube root parent function is vertically stretched by a factor of 3, reflected in the x-axis,

Answer 1

Using translation concepts, it is found that the equation that represents the new function is:

• $y = -3\sqrt[3]{x} - 8$

The cube root parent function is given by:

$y = \sqrt[3]{x}$

Translation:

The function goes through these following translations:

• Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence $y = 3\sqrt[3]{x}$.

• Reflected over the x-axis, that is, it is multiplied by -1, hence $y = -3\sqrt[3]{x}$.

• Translated 8 units down, that is, 8 is subtracted from the function, hence $y = -3\sqrt[3]{x} - 8$.

Then, the equation is:

• $y = -3\sqrt[3]{x} - 8$

To learn more about translation concepts, you can take a look at brainly.com/question/13671886