Question

Exponential Transformations:Identify if it’s growth or decay, range, horizontal move, vertical move, flip, stretch or shrink (don’t worry about the y- intercept column)Y = 2x (12)y = 3^x -1 +4y = -3 (2)^x +2

Answer 1

The given functions are

`\begin{gathered} y=2((1)/(2))^x \\ y=3^(x-1)+4 \\ y=-3(2)^x+2 \end{gathered}`

The first function represents decay, its range is y > 0, there's no horizontal move or vertical, there's no flipping and the function is being stretched.

The second function represents growth, its range is y > 4, there's a horizontal movement 1 unit right, and 4 units up. There's no flipping and no stretching.

The third function represents growth, its range is y > 2, there's no horizontal movement but it's being shifted 2 units up. The function is flipping and stretching.