Question

question
use technology to find 2 points and then graph the function ( y = 2^{x - 5} - 5 ), following the instructions below.
equation of asymptote:
( y = square )
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answer attempt 1 out of 10
you must answer all questions above in order to submit.

Explanation:

Step1: Recall Exponential Function Asymptote

For an exponential function of the form \( y = a^{x - h}+k \), the horizontal asymptote is \( y = k \).

Step2: Identify \( k \) in Given Function

The given function is \( y = 2^{x - 5}-5 \). Here, \( k=- 5 \). So the horizontal asymptote is \( y=-5 \).

Answer:

\( y = - 5 \)