Question

What transformations produce the graph of g(x)=3^-x+7 from the graph of the parent function f(x)=3^*? select all that apply

Answer 1

Reflect over the x - axis

Horizontal shift to the right 7 unit

Explanation:

Given:

• f(x)=
  `3^(x)`
• g(x)=
  `3^(-x + 7)` =
  `3^(-(x - 7))`

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

Answer 2

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.