Dalton11111
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A function [tex]f(x)=\sqrt[3]{x}[/tex] is transformed into the function [tex]g(x)=-\sqrt[3]{x} -8[/tex].

Name the 2 transformations that occurred and describe the general shape of g(x). When describing the shape, you have the option of including a picture of its graph.

PLEASE HELP!!!!!

Respuesta :

kudzordzifrancis

Answer:

a reflection in the x-axis, and a vertical translation of 8 units down.

Step-by-step explanation:

The given function is

[tex]f(x) = \sqrt[3]{x} [/tex]

The transformed function is

[tex]g(x) = - \sqrt[3]{x} - 8[/tex]

We can see that the transformation is of the form

[tex] - f(x) - h[/tex]

Where h=8 is a downward shift by 8 units.

And the negation tells us that the parent function is reflected in the x-axis

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