Respuesta :

Changing the x from positive to negative, reflects the graph over the Y-Axis.

Adding 7 to X shifts the graph horizontally 7 units to the right.

Answer:

Reflect over the x - axis

Horizontal shift to the right 7 unit

Step-by-step explanation:

Given:

  • f(x)=[tex]3^{x}[/tex]
  • g(x)= [tex]3^{-x + 7}[/tex] = [tex]3^{-(x - 7)}[/tex]

The 4 parameters in f(x) are:

a= 1 k = 1 d= 0 c = 0

The 4 parameters in g(x) are:

a= 1 k = -1 d= 7 c = 0

So we can see that, there are 2 parameter changed  k and d and affect the horizon of the graph. So we choose:

Reflect over the x - axis

Horizontal shift to the right 7 unit