Question

In two or more complete sentences, describe the transformation(s) that take place on the parent function f(x) = 3^x to

Answer 1

Answer:

The given function is an exponential function

Written as:

f(x) = 3^x

We can see the transformed function is:

f(x) = 3^(-x+2)-2

So,

The -x instead of x represents that the graph has been reflected over x-axis.

The +2 in the exponent means that there is a horizontal shift of 2 units to the left

Similarly the -2 added to 3^(-x+2) mean that there is a vertical shift of 2 units downwards

The graph is attached here ..

Th red line represents the original function and the blue is for transformed function.

The graph has been made using the online graphing tool "Desmos" ..