Function Transformations HW

Given $$p\left(x\right)=\sqrt[]{x}$$ , match each function with the transformation that would occur to $$p\left(x\right)\$$ .

Given $$p\left(x\right)=\sqrt[]{x}$$ , match each function with the transformation that would occur to $$p\left(x\right)\$$ .

Given the function $$f\left(x\right)=-2\log\left(x+4\right)$$ identify the transformations that would occur to the parent function.

Describe the transformation of the equation below from the absolute value parent function. SELECT ALL THAT APPLY

$$y=-2\left|x-3\right|$$  

Describe the transformation of the equation below from the parent function. SELECT ALL THAT APPLY

$$y=\frac{1}{2}\left(x+3\right)^2-2$$  

Given the parent function $$p\left(x\right)=x^2$$ , write an equation for a function with a reflection over the x-axis, vertical dilation by 3, and translated up 5.

Given the parent function $$p\left(x\right)=\sqrt[]{x}$$ , write an equation for a function with a reflection over the y-axis, vertical dilation by 4, and translated left 2.

Given the parent function $$p\left(x\right)=\sqrt[]{x}$$ , write an equation for a function horizontal dilation by 2 and translated down 10.

Given $$f\left(x\right)=-\left|3x\right|$$ , the negative ​causes (a)   and the 3 causes ​ (b)   to the parent function.