Question

f(x)=3^x
g(x)=3^(x+1) +6

Describe the transformations from f(x) to g(x).



A) left 1 and up 6
B) left 6 and up 1
C) right 6 and up 1
D) right 1 and down 6

Answer 1

I know it's A because +6 is six units up.

But how do I know that 1 added to exponent is 1 left?

Answer 2

Basically what these equations mean is that f(x+1)=g(x) so, if you think about it, it basically means that whatever value the function g has at a point x, the function f has it at point x+1, hence the function is shifted one point to the left

Answer 3

^not sure if that makes sense couldn't really explain it through writing :p