Find g (x), where g (x) is the translation 2 units left and 12 units down of f (x) = 10x-10.

We have the following transformations:

y = f (x + c) : moves the graph c units to the left.

y = 10 (x + 2) - 10

y = 10x + 20-10

y = 10x + 10

y = f (x) - c: move the graph c units down.

g (x) = 10x + 10 - 12

g (x) = 10x - 2

Answer:

the function g (x) is given by:

g (x) = 10x - 2