Sketch y= -(1/4)(2)^(x-4)+5 by first including a table describing its major features.

To sketch the graph of the given equation y = -(1/4)(2)^(x-4)+5 and describe its major features, we can create a table of points using different x-values and then plot those points on a coordinate plane.

Step 1: Choose x-values
We can choose various x-values to plug into the equation and find the corresponding y-values. Let's choose x-values of -1, 0, 1, 2, 3, 4, 5, and 6 for this example.

Step 2: Calculate y-values
Plug the chosen x-values into the equation y = -(1/4)(2)^(x-4)+5 and calculate the corresponding y-values.

For example, when x = -1:
y = -(1/4)(2)^(-1-4)+5
= -(1/4)(2)^-5 + 5
= -(1/4)(1/32) + 5
= -1/128 + 5
= 639/128

Repeat this process for each chosen x-value.

Step 3: Create a table
Create a table with two columns: x and y. List the chosen x-values in the first column and the corresponding y-values in the second column.

x | y
--------------
-1 | 639/128
0 | 81/64
1 | 13/8
2 | 5/4
3 | 25/16
4 | 5
5 | 80/64
6 | 20/4

Step 4: Plot the points
Using the table, plot the points on a coordinate plane. The x-values will be on the horizontal axis, and the y-values will be on the vertical axis. Connect the plotted points smoothly to form the graph.

Step 5: Determine the major features
Analyzing the graph, we can observe the following major features:

1. Y-Intercept: The graph intersects the y-axis at the point (0, 81/64).
2. Shape: The graph is a decreasing curve.
3. Asymptote: As x approaches negative infinity, the graph approaches the line y = 5.
4. Steepness: The graph becomes steeper as x increases.

By following these steps, you can sketch the graph and describe its major features.