Transformations of Square and Cube Root Functions

square root

divide by 2

cube root

greater than or less than

cube root

quadratic

cubic

square root

linear

cube root

quadratic

cubic

square root

linear

$$f\left(x\right)=\sqrt[3]{x}-1$$  

$$f\left(x\right)=\sqrt[3]{x}+1$$  

$$f\left(x\right)=\sqrt[3]{x}-2$$  

$$f\left(x\right)=\sqrt[3]{x}+2$$  

$$f\left(x\right)=\sqrt[3]{x}-1$$  

$$f\left(x\right)=\sqrt[3]{x}+1$$  

$$f\left(x\right)=\sqrt[3]{x}-2$$  

$$f\left(x\right)=\sqrt[3]{x}+2$$  

$$f\left(x\right)=\sqrt[3]{\left(x+2\right)}$$  

$$f\left(x\right)=\sqrt[3]{\left(x+1\right)}$$  

$$f\left(x\right)=\sqrt[3]{\left(x-2\right)}$$  

$$f\left(x\right)=\sqrt[3]{\left(x-1\right)}$$  

$$f\left(x\right)=\sqrt[3]{\left(x+2\right)}$$  

$$f\left(x\right)=\sqrt[3]{\left(x+1\right)}$$  

$$f\left(x\right)=\sqrt[3]{\left(x-2\right)}$$  

$$f\left(x\right)=\sqrt[3]{\left(x-1\right)}$$