Question

Identify the transformation that shifts a function left 2 and down 5.

Answer 1

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


`y=f(x+a)`, where
`a` is any real number

Shifting a function down is the effect given by the transformation


`y=f(x)-a`, where
`a` is any real number

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


`y=f(x+2)`

Then shifting the function down by 5, we have


`y=f(x+2)-5`