Question

The graph of f(x) = 4+ is shown below in blue. This graph in red is a transformation of f(x). Write a function thatdescribes the

Answer 1

Solution

Step 1:

Write the parent function

$f(x)\text{ = 4}^x$

Step 2:

Transformation of f(x) to g(x)

First, f(x) was reflected across the x-axis

$f(x)\text{ }\rightarrow\text{ -4}^x\text{ }\rightarrow\text{ g\lparen x\rparen}$

Step 3:

Then the function is later shifted 3 units vertically down.

$g(x)\text{ = -4}^x\text{ - 3}$

Final answer

$g(x)\text{ = -4}^x\text{ - 3}$