An exponential function wirth a parent function of f left parenthesis x right parenthesis space equals space 2 to the power of x is transformed by the following... Reflection over the x-axis
Horizontal shift of 2 to the left
Vertical shift up 4

What is the resulting function?

Your

f left parenthesis x right parenthesis space equals space minus left parenthesis 2 right parenthesis to the power of x space minus space 2 end exponent space minus space 4

f left parenthesis x right parenthesis space equals space minus left parenthesis 2 right parenthesis to the power of x space plus space 2 end exponent space plus space 4

f left parenthesis x right parenthesis space equals space minus left parenthesis 2 right parenthesis to the power of x space minus space 4 end exponent space minus space 2

f left parenthesis x right parenthesis space equals space minus left parenthesis 2 right parenthesis to the power of x space plus space 4 end exponent space plus space 2