Question

The function f(x) = 2* is translated left 3 units and down 2 units. Which is the equation of the translated function?

g(x) = 2x-3-2
g(x) = 2x -2-3
g(x) = 2x - 2 + 3
g(x) = 2x + 3-2

Answer 1

D.

Explanation:

Answer 2

g(x) = 2^(x+3) -2

Explanation:

To translate a function f(x) right h units and up k units, it becomes ...

g(x) = f(x -h) +k

Here, your translation is (h, k) = (-3, -2), so the function becomes ...

g(x) = f(x +3) -2

g(x) = 2^(x+3) -2 . . . . matches the last choice