Question

What transformations produce the graph of g(x) = 6^-x+4from the graph of the parent function f(x) = 6^x? Select all that apply.

Answer 1

Given:

The parent function is,

`f(x)=6^x\text{ . . . . . (1)}`

The function of the transformed graph is,

`6^(-x+4)`

The objective is to select the correct transformations that apply.

Step-by-step explanation:

Consider the negative sign added for the input values x. Here, the negative sign for x represents that the graph is reflected over the y-axis.

Then, the addition of 4 to the x values shifts the graph 4 units to the right.

Thus, the transformations are,

-reflection over the y-axis

-horizontal shift to the right 4 units.

Hence, option