The function f (x) = x2. The graph of g (x) is f (x) translated to the left 6 units and down 5 units. What is the function rule for g (x) ?

Question 18 options:

g (x) = (x + 6) 2 - 5

g (x) = (x - 5) 2 + 6

g (x) = (x + 5) 2 - 6

g (x) = (x - 6) 2 + 5

g (x) = (x + 6) ^2 - 5

Step-by-step explanation:

To translate f (x) to the left by 6 units, replace x with x+6.

To translate f (x) down 5 units, replace f (x) with f (x) - 5.

Together, these replacements give you ...

... g (x) = f (x+6) - 5

... g (x) = (x + 6) ^2 - 5