Transforming Parent Functions

Select all the transformations for $$f\left(x\right)=-2\left(x+1\right)^2-3$$

Select all the transformations for $$f\left(x\right)=\sqrt[]{2\left(x-4\right)}+1$$

Select all the transformations for $$f\left(x\right)=\sqrt[3]{-\frac{1}{4}\left(x+1\right)}$$

Select all the transformations $$f\left(x\right)=\frac{1}{2}\left(x-3\right)^3$$

Is this transformation horizontal or vertical? $$f\left(x\right)=\sqrt[]{2\left(x-1\right)}$$

(a)  

Is this transformation over the x-axis or y-axis? $$f\left(x\right)=\left|-\left(x+1\right)\right|$$

(a)  

Draw the parent function for $$\sqrt[]{x}$$ (think bottle rocket)

Draw the parent function for $$x^2$$

Draw the parent function for $$x^3$$

Draw the parent function for $$\sqrt[3]{x}$$