Question

A function f(x) = 3^x is transformed into the function g(x) = 1/2 • 2^x+3 -5

Choose the transformations that occurred. CHOOSE ALL THAT APPLY.

-Vertical Shift Down

-Horizontal Shift Right

-X-axis Reflection

-Vertical Shift Up

-Vertical Compression

-Horizontal Shift Left

-Vertical Stretch

Answer 1

Vertical compression, horizontal shift left, vertical shift down

Explanation:

`f(x) = 3^x => g(x) = (1)/(2) *2^(x+3) -5`

Let's break down what happened here:

`(1)/(2)` - This indicates a vertical compression

`2^(x+3)\\` - This indicates a horizontal shift left

-5 - This indicates a vertical shift down