The parent function f(x)=2^x is reflected across the x-axis, then shifted 2 units left and 6 units down. Write an equation to represent the new function.
\(\text{for any function }f(x) \\ \text{reflection across x-axis} \Rightarrow f(x) \to -f(x)\\ \text{left shift 2 units} \Rightarrow f(x) \to f(x+2)\\ \text{shift down 6 units} \Rightarrow f(x) \to f(x)-6\\ \text{combining all three}\\ f(x) \to -f(x+2)-6\)
Thank you so much! ^-^
Here is a graph FYI:
+2448 
