One function Transformation Questions

This is the Parent function for Rational or (a)   function.

Re-write the function so you can separate it into 3 parts.

Draw the VA Vertical asymptote for this function. $$f\left(x\right)\ =\ 4\left(\frac{1}{x+2}\right)+1$$

What is the value of the VA (vertical asymptote)

Draw the HA Horizontal asymptote for this function.

$$f\left(x\right)\ =4\left(\frac{1}{x+2}\right)+1$$

What is the value of the HA (horizontal asymptote)?

Which is the correct graph for this function?

$$f\left(x\right)=4\left(\frac{1}{x+2}\right)+1$$

The ___________ of the function is $$(-\infty,-2)U(-2,\ \infty)$$ . The __________ of this function is $$\left(-\infty,\ 1\right)U\ \left(1,\ \infty\right)$$

(a)  

What is the only difference between these two functions?

$$4\left(\frac{1}{x+2}\right)+1$$ AND $$-4\left(\frac{1}{x+2}\right)+1$$