Question

The function g(x) is obtained by translating f(x) = 2^x to the left 6 units and down 3 units. Write an equation for g(x)

Answer 1

To shift an equation to the left 6 units, we need to put a +6 directly next to the x. So now we have:
\[2^{x+6}\] To shift down 3 units, we subtract a 3 from the whole equation. So:
\[g(x)=2^{x+6} -3\]

Answer 2

wait so six is to the right

Answer 3

No, you put a +6 to shift to the left, and a -6 to shift to the right.

Answer 4

ohhhh ok thanks for your help

Answer 5

You're welcome, glad I could help.