Exponential Transformations Practice Basics

For $$y=a\left(b\right)^x+k$$ , how does adding a constant "k" transform the parent function?

For $$y=a\left(b\right)^{\left(x-h\right)}+k$$ , how does adding a constant "h" transform the parent function?

For $$y=a\left(b\right)^{\left(x-h\right)}+k$$ , how does negative "a" transform the parent function?

Match the following when $$y=-2\left(\frac{1}{3}\right)^x+4$$  

 If g(x) is a transformation of f(x), describe the transformation.

$$f\left(x\right)=-3^x$$  
$$g\left(x\right)=-3^{0.2x}$$  

 If g(x) is a transformation of f(x), describe the transformation.

$$g\left(x\right)=\left(2\right)0.25^x$$  
$$f\left(x\right)=0.25^x$$  

 If f(x) is a transformation of g(x), describe the transformation.

$$g\left(x\right)=0.5^{x-3}$$   
$$f\left(x\right)=0.5^x$$  
Be careful!  This is not the same question at #4!

 If g(x) is a transformation of f(x), describe the transformation.

$$g\left(x\right)=\left(-3\right)2^x$$   

$$f\left(x\right)=\left(3\right)2^x$$  

 If g(x) is a transformation of f(x), describe the transformation.

$$f\left(x\right)=0.4^x-1$$
$$g\left(x\right)=0.4^x-2$$  

 

If g(x) is a transformation of f(x), describe the transformation.

$$f\left(x\right)=2^x$$      $$g\left(x\right)=2^x+4$$