Check for understanding Transformations

The quadratic parent function is vertically stretched by a factor of 5, translated 9 units to the right and shifted 7 units down.

• $5\sqrt{x-9}-7$

• $\sqrt{5x-9}-7$

• $5\sqrt{x-7}-9$

• $5\sqrt{x+9}-7$

 $f\left(x\right)=\left|x+12\right|-6$  is transformed 
to  $g\left(x\right)\ =\ f\left(x+3\right)+2$  
What is the equation of g(x)

•  $g\left(x\right)=\left|x+15\right|-4$  

•  $g\left(x\right)=-\left|x+9\right|-4$  

•  $g\left(x\right)=-\left|x+15\right|-8$  

•  $g\left(x\right)=-\left|x+9\right|-4$  

 $f\left(x\right)=-5\left(x+2\right)^3-4$  is translated three units to the right and two units up. What function represents the transformation?

•  $f\left(x\right)=-5\left(x-1\right)^3-2$  

•  $f\left(x\right)=-5\left(x+5\right)^3-6$  

•  $f\left(x\right)=-5\left(x-1\right)^3-6$  

•  $f\left(x\right)=-5\left(x-1\right)^3+2$  

Given $t\left(x\right)=-\left(x-2\right)^2+5$ evaluate for t(4)

• = 1

• = -1

• =9

• = -9