Question

The function g(x) is a transformation of the parent function f(x). Decide how f(x) was transformed to make g(x).

A. Horizontal or vertical reflection
B. Horizontal or vertical stretch
C. Horizontal or vertical shift
D. Reflection across the line y = x

Answer 1

f(x)=\[f(x)=3^{x}\]

Answer 2

y or f(x)

Answer 3

how about for f(x)?

Answer 4

@Hero can you help

Answer 5

Do you see a relationship between f(x) and g(x)?

Answer 6

When x = -2, f(x) = `1/9`, g(x) = `9`

When x = -1, f(x) = `3`, g(x) = `1/3`

When x = 2, f(x) = `9`, g(x) = `1/9`

@zab505, Do you observe a pattern?

Answer 7

I'm lost on what happens to the function?

Answer 8

I'm almost sure reflection

Answer 9

@Hero

Answer 10

Correct. The functions are inverses of each other therefore a reflection of f(x) over the line y = x has occurred to form g(x).

Answer 11

hank You

Answer 12

Another approach would have been to actually plot the points of each function on an xy plane. Then you would clearly see that a reflection has occurred over y = x.

Answer 13

Almost 100% sure A, C, and D

Answer 14

@Hero