Question

If the parent function is rt[3]{x}" align="absmiddle" class="latex-formula">, describe the translation of the function y =$\sqrt[3]{x} -4+3$
Four units to the right and three units up from $\sqrt[3]{x}$

Three units to the right and four units down from $\sqrt[3]{x}$

Three units to the left and four units down from $\sqrt[3]{x}$

Four units to the left and three units up from $\sqrt[3]{x}$

Answer 1

Answer: Four units to the right and three units up from $\sqrt[3]{x}$

Step-by-step explanation:

1. By definition, a parent function is the simplest form of a function.

2. You have the parent function $\sqrt[3]{x}$,

3. The function $\sqrt[3]{(x-4)}+3$ is the translation of the parent function shown above.

4. The subtraction -4 inside of the cube root indicates the horizontal shift to the right from the parent function and the addtion +3 outside of the cube root indicates the vertical shift up from the parent function.

5. Therefore, the description of the translation is: Four units to the right and three units up from $\sqrt[3]{x}$