Respuesta :

Shifting a function to the left is the effect given by the transformation

[tex]y=f(x+a)[/tex], where [tex]a[/tex] is any real number

Shifting a function down is the effect given by the transformation

[tex]y=f(x)-a[/tex], where [tex]a[/tex] is any real number

The transformation that shifts a function left by 2 is given by:

[tex]y=f(x+2)[/tex]

Then shifting the function down by 5, we have

[tex]y=f(x+2)-5[/tex]