Question

equation of asymptote: y =
graph the function y = 2^{x - 4} - 4 using the given table of values and following the instructions below.

Explanation:

Step1: Analyze the function form

The function \(y = 2^{x - 4}-4\) is in the form of an exponential function \(y = a^{x - h}+k\).

Step2: Recall the asymptote rule

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

Step3: Identify \(k\) value

In the function \(y = 2^{x - 4}-4\), \(k=-4\).

Answer:

\(-4\)