graph the function ( y = 2^{x - 4}-5 ) using the given table of values and following the instructions…

graph the function ( y = 2^{x - 4}-5 ) using the given table of values and following the instructions below.\nequation of asymptote:\n( y=) \nnext

graph the function ( y = 2^{x - 4}-5 ) using the given table of values and following the instructions below.\nequation of asymptote:\n( y=) \nnext

Answer

Explanation:

Step1: Recall the general form of an exponential function

The general form of an exponential function is (y = a\cdot b^{x - h}+k). For the function (y = 2^{x - 4}-5), where (a = 1), (b = 2), (h = 4), and (k=-5).

Step2: Determine the horizontal asymptote

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

Answer:

(y=-5)