Question

guided practice
type your answer and then click or tap done.
will the graph of $y = 0.5^{x + 2} - 1$ translate up or down? type up or down.
notebook

Explanation:

Step1: Recall vertical shift rule

For a function \( y = f(x)+k \), if \( k>0 \), shift up \( k \) units; if \( k < 0 \), shift down \(|k|\) units.

Step2: Identify \( k \) in the given function

The function is \( y = 0.5^{x + 2}-1 \), which can be written as \( y=0.5^{x + 2}+(- 1) \). Here, \( k=-1 \).

Step3: Determine the direction of shift

Since \( k = - 1<0 \), according to the vertical shift rule, the graph of the function will translate down.

Answer:

down